Mathematics

Dr. Balendu Bhooshan Upadhyay

Balendu Bhooshan Upadhyay

  
Dr. B. B. Upadhyay
Associate Professor
Ph.D, Banaras Hindu University
Ph: +91-612-302 8721
Fax: +91-612-227 7383
bhooshan[*AT]iitp.ac.in
Personal Webpage: https://www.iitp.ac.in/~bhooshan/
Professional Experience :
  • Assistant Professor
    Department of Mathematics
    Indian Institute of Technology Patna
    Patna- 801103, Bihar, India
    (From September 2017 to March 2024)
  • Assistant Professor
    Department of Mathematics
    National Institute of Technology Manipur
    Langol- 795004, Imphal, India
    (From December 2014 to September 2017)
  • Post Doctoral Fellow (Banaras Hindu University)
    National Board of Higher Mathematics
    Department of Atomic Energy, India
    (From May 2014 to December 2014)
Research Areas :
  • Nonlinear Optimization
  • Variational Inequality
  • Semi-infinite Programming
  • Fixed Point Theory
  • Differential Manifolds
  • Mathematical Programming with Equilibrium\Vanishing\Switching Constraints
  • Bilevel and Robust Optimizatio
  • Non-smooth Multiobjective Optimization
Metric & Citations : H-index: 14
i-10 index: 23
Google Scholar Citation: 516
Ph.D. Students (Submitted/Awarded) :  
Sr. No. Name Duration Title of the Thesis
1. Priyanka
Priyanka Mishra		 Registered: July 2018
Final Viva: August 2022		 On Generalized Vector Variational Inequalities and Nonsmooth Interval-Valued Multiobjective Optimization (Awarded).
2. PriyankaArnav Ghosh  Registered: August 2020
Thesis Submitted: Septemeber 2023		 On multiobjective semi-infinite programming problems on Hadamard manifolds: constraint qualifications, optimality conditions and duality results (Awarded).
Ph.D. Students (Ongoing) :
Sr. No. Name Registration Type
1. Rupesh
Rupesh Krishna Pandey 		Registered in August 2020 UGC Senior Research Fellow, Full-time
2. ShivaniShivani Sain Registered in January 2023 Prime Minister's Research Fellow, Full-time
3. SubhamSubham Poddar Registered in January 2023 Prime Minister's Research Fellow, Full-time
4. ShubhamShubham Kumar Singh Registered in August 2023 Institute Fellow, Full-time
5. SushilSushil Kumar Tiwari Registered in January 2021 Employed, Part-time
M. Sc. Students : M. Sc. Dissertation (Completed)
  1. Sushmita Debnath
  2. Poushali Das
  3. Shivani Sain (IIT Patna)
  4. Subham Poddar (IIT Patna)
  5. Vishal Mane  (IIT Patna)
  6. Shubham Kumar Singh (IIT Patna)
  7. Archana Kumari (IIT Patna)
  8. Y. Linthoigambi (NIT Manipur)
  9. L. Haokip Gin (NIT Manipur)
  10. K. Amarjit Singh (NIT Manipur)
  11. Kh. Manglem Singh (NIT Manipur)

M. Sc. Dissertation (Ongoing)

  1. Tiyas Chakraborty
  2. Chandani Kumari

M. Sc. Internship

  1. Hrishabh Mishra, NITR (June 2022)
  2. Nikita Prajapati, NITR (June 2023)
  3. Shefali Jaiswal, Allahabad University (June 2023)
M. Tech. Student : M. Tech. Dissertation (Completed)
  1. Nand Gopal Naskar, IIT Patna
  2. S. K. Salim Ali, IIT Patna
  3. Pankaj Chahal, IIT Patna, IIT Patna
Teaching : Topics at UG and PG Levels (in BHU, NIT Manipur and IIT Patna):
  • Numerical Optimization (MA 502)
  • Operations research (MA 525)
  • Optimization Techniques (MA 309)
  • Modern Algebra (MA 601)
  • Linear Algebra (MA 421)
  • Real Analysis (MA 425)
  • Complex Analysis (MA 424)
  • Generalized Convexity and non-linear Optimization (MA 634)
  • Linear Algebra and Optimization Techniques (MA 546)
  • Numerical Methods (MA 203)
  • Tensor and Geometry (MTB-302)
  • Calculus (MTB-101)
Course/Curriculum Designed :
  • Designed the course entitled “Generalized Convexity and Nonlinear Optimization” (Course Code : MA634) for the students of MSc. (Mathematics and Computing) and Research Scholars at IIT Patna
  • Member of the committee designing the course curriculum for the program BS (Mathematics and Computing) at IIT Patna
Sponsored Project :
Title PI / Co-PI Sponsored by Status
  • Proximal point method for multiobjective optimization with Bregman Regularization on Hadamerd manifolds, application to group dynamic problem
 Dr. Balendu Bhooshan Upadhyay (PI) Science and Engineering Research Board (SERB) under SIRE scheme (from 30.09.2023 to 14.03.2024) with total cost INR 15,65,893/- (approx.) Completed
  • “On the Existence of the Solution Set of Mixed Vector Quasi-Hemivariational Inequalities on Hadamard Manifold: Gap Functions and Error Bound Analysis”
 Dr. Balendu Bhooshan Upadhyay Science and Engineering Board (MTR/2022/00925) under MATRICS scheme for the period of three years (From 13/01/2023-12/01/2026) with total cost INR 6,60,000/-  Ongoing
  • Towards New Platform on Generalized Vector Variational Inequalities: Scope in Optimization and Bilevel Programming
 Dr. Balendu Bhooshan Upadhyay (PI) ‘Science and Engineering Research Board’ (SERB-ECR), DST, Government of India, and total cost INR 14,94,350/-.  Completed
  • Investigation of bi-f-harmonic and f-bi-harmonic maps on Finsler spaces
 Dr. Balendu Bhooshan Upadhyay (Co-PI) 'TEQIP-III Collaborative Research Scheme' of National Project Implementation Unit, MHRD, Government of India, and total cost INR 2,60,000/-  Completed
Administrative Responsibility :
  • Faculty Advisor of the course BS (Mathematics and Computing) for the batch 2022-2026.
  • Warden (Married and Raman Hostel) at IIT Patna since 1st August 2020-till date.
  • Associate Warden (Married and Raman Hostel) at IIT Patna since 7th May 2019-31st July 2020.
  • Departmental Ph.D coordinator of Department of Mathematics since August 2018.
  • Controller of Examinations at NIT Imphal from February 2016 to February 2017.
  • Assistant Controller of Examinations at NIT Imphal from February 2015 to February 2016.
  • Assistant Warden at NIT Manipur (from July 2016 to July 2017).
  • Member of Hostel Desciplinary Committee (from July 2016 to July 2017).
Awards & Honours :
  • Award of SERB-International Research Experience (SIRE) fellowship for the year 2023-24 to work at Rochester Institute of Technology, (New york, USA)
  • Award of Post-Doctoral Fellowship of National Board for Higher Mathematics(NBHM)-2014
  • Award of the Travel Grant from SERB (SB/LRS.Y/O 4358120'T3-1 4) to participate in 9th Int. Conf. on Optimization Techniques and Application in Taiwan in 2013
  • CSIR-UGC (NET-JRF)-2010 (all India rank-036).
  • GATE-2011
  • Research Fellowship by UGC(From October-2009 to December 2010)
  • Junior Research Fellowship (JRF) by CSIR (from January 2011 to December 2012 )
  • Senior Research Fellowship (SRF) by CSIR (from January 2013 to December 2013)
  • IMS Prize for the Year 2012 for Presenting Best Research Paper at 78th Annual Conference of Indian Mathematical Society (IMS)
Member of Professional bodies :
Conference(s)/Workshop
Organized		 :
  • Organized the Continuous Education Programme (CEP) on “Resource Optimization in Process Industries” (ROPI-2023) jointly by Department of Mathematics and Department of Chemical and Bio-Chemical Engineering, IIT Patna between October 17th -19th February 2023 (with 45 Participants)
  • Organized (Co-convener) a regional workshop of “Indian Women and Mathematics: Research and Opportunities” held at the Department of Mathematics, IIT Patna from 04-05th December 2021 (Sponsored by National Board for Higher Mathematics (NBHM) and Committee for Women in Mathematics (CWM), International Mathematical Union (IMU)).
  • Organized (Co-convener) a regional workshop of “Indian Women and Mathematics: Research and Opportunities” held at the Department of Mathematics, IIT Patna from 04-05th December 2021 (Sponsored by National Board for Higher Mathematics (NBHM) and Committee for Women in Mathematics (CWM), International Mathematical Union (IMU))
  • Organized (Coordinator) the Continuous Education Programme on "Recent Trend in Convex Optimization: Theory, Algorithms and Applications" (RTCOTAA-2020) at Department of Mathematics, IIT Patna, between October 29th-October 31st 2020.
  • Organized (Co-convener) an international Conference on “Emerging Trends in Science and Engineering Research” held at NIT Manipur from 02nd-04th December 2015.
Books :

Pseudolinear Functions and Optimization (K24028, ISBN-978-1-4822-5573-7), CRC Press, Taylor & Francis Group, 2014 (Co-authored with Prof. S.K. Mishra) 

 

 

 

Convex Optimization-Theory, Algorithms and Applications, Springer Proceeding in Mathematics and Statistics, Appear in December 2024 (Co-authored with Prof. S. K. Mishra and Prof. Pierre Maréchal).

 IMG 20231123 WA0004 
Publications (International) : Peer Reviewed Journals:
    • B.B. Upadhyay, S.K. Singh, I.M. Stancu-Minasian: "Constraint Qualifications and Optimality Conditions for Nonsmooth Semi-definite Multiobjective Mathematical Programming Problems with Mixed Constraints", Mathematics, 12 (20), 3202-3223 (2024). 
    • Savin Treanta, Cristina-Florentina Pirje, Jen-Chih Yao, B.B. Upadhyay: "Efficiency conditions in new interval-valued control models via modified T-objective functional approach and saddle-point criteria", Mathematical Modelling and Control, 4(4) 1-13 (2024)
    • B.B. Upadhyay, A. Ghosh, Savin Treanta, J.C. Yao: "Constraint Qualifications and Optimality Conditions for Multiobjective Mathematical Programming Problems with Vanishing Constraints on Hadamard Manifolds", Mathematics, 12, 3047 (2024).
    • B.B. Upadhyay, A. Ghosh, and N. Kanzi, “Constraint qualifications and optimality conditions for nonsmoothmultiobjective mathematical programming problems with vanishing constraints on hadamard manifolds,” Journal of Mathematical Analysis and Applications, 2024. doi: 10.1016/j.jmaa.2024.128873.
    • B.B. Upadhyay, S. Poddar, J. C. Yao, and J. W. Chen, “Robust optimality and duality for nonsmooth
      multiobjective semi-infinite programming problems with switching constraints under data uncertainty,” Journal of Nonlinear and Convex Analysis, 2024 (Accepted).
    • B.B. Upadhyay, A. Ghosh, and J. C. Yao, “On pareto efficiency criteria for nonsmooth multiobjective
      mathematical programming problems with equilibrium constraints on hadamard manifolds via convexificators,” Journal of Nonlinear and Convex Analysis, 2024 (Accepted).
    • B.B. Upadhyay, S. Sain, M. A. Kobis, and X. Zhao, “Gap functions and global error bounds for mixed vector quasi-hemivariational inequality problems on Hadamard manifolds,” Journal of Nonlinear and Convex Analysis, 2024 (Accepted).
    • B.B. Upadhyay, S. Sain, and I. M. Stancu-Minasian, “Lagrange duality and saddle point optimality conditions for nonsmooth interval-valued multiobjective semi-infinite programming problems with vanishing constraints,” Axiom, 2024. doi: 10.3390/axioms13090573.
    •  B.B. Upadhyay, R. K. Pandey, and S. Zeng, “A generalization of generalized Hukuhara Newton’s method for interval-valued multiobjective optimization problems,” Fuzzy Sets and Systems, 2024. doi:
      10.1016/j.fss.2024.109066.
    • B.B. Upadhyay and A. Ghosh, “Optimality conditions and duality for multiobjective semi-infinite optimizationproblems with switching constraints on hadamard manifolds,” Positivity, 2024. doi: 10.1007/s11117-024-01065-0.
    • B.B. Upadhyay, S. K. Shubham, and I. M. Stancu-Minasian, “Duality for nonsmooth semidefinite multiobjective programming problems with equilibrium constraints using convexificators,” Journal of Nonlinear Sciences and Applications, 17(3), 128-149 (2024) 
    • B.B. Upadhyay, I. M. Stancu-Minasian, S. Poddar, and P. Mishra, “On approximate variational inequalities and bilevel programming problems,” Axioms, 2024.  doi: 10.3390/axioms13060371.
    • B.B. Upadhyay and S. Poddar, “Optimality conditions and duality for robust nonsmooth multiobjective
      semi-infinite optimization problems on Hadamard manifolds,” Journal of Applied Analysis and Optimization, 8(2), 167-201 (2024)
    • B.B. Upadhyay and S. Sain, “Characterization of the solution set of nonsmooth semi-infinite programming problems on Hadamard manifolds,” RAIRO Operations Research, 2024. doi: 10.1051/ro/2024096.
    • B.B. Upadhyay, A. Ghosh, N. Kanzi, and H. Soroush, “Constraint qualifications for nonsmooth multiobjective programming problems with switching sonstraints on Hadamard manifolds,” Bulletin of the Malaysian Mathematical Sciences Society, 2024. doi: 10.1007/s40840-024-01701-8.
    • B.B. Upadhyay, A. Ghosh, and S. Treanta, “Efficiency conditions and duality for multiobjective semi-infinite programming problems on Hadamard manifolds,” Journal of Global Optimization, 2024. doi:10.1007/s10898-024-01367-3.
    • B.B. Upadhyay, and R. K. Pandey and S. Liao: Newton’s method for interval-valued multiobjective optimization problem, Journal of Industrial and Management Optimization, (2023). https://doi.org/10.3934/jimo.2023138
    • B. B. Upadhyay, R. K. Pandey, J. Pan, S. Zeng: Quasi-Newton Algorithms for solving interval-valued multiobjective optimization problems by using their certain equivalence, Journal of Computational and Applied Mathematics, (2023). https://doi.org/10.1016/j.cam.2023.115550
    • B.B. Upadhyay, A. Ghosh, S. Treanţă: Optimality conditions and duality for non- smooth multiobjective semi-infinite programming problems with vanishing constraints on Hadamard manifolds, Journal of Mathematical Analysis and Applications, (2023). https://doi.org/10.1016/j.jmaa.2023.127785
    • B. B. Upadhyay, A. Ghosh, S. Treanta: Constraint qualifications and optimality criteria for nonsmooth multiobjective programming problems on Hadamard Manifolds, Journal of Optimization Theory and Applications, (2023). https://doi.org/10.1007/s10957023-02301-5
    • Z. Jafariani, N. Kanzi, M. N. Parizi and B. B. Upadhyay: On Fréchet normal cone for nonsmooth mathematical programming problems with switching constraints, RAIRO-Operations Research, (2023). https://doi.org/10.1051/ro/2023138
    • B.B. Upadhyay, A Ghosh, S. Treanta: Optimality conditions and duality for nonsmooth multiobjective semi-infinite programming problems on Hadamard Manifolds, Bulletin of the Iranian Mathematical Society, 49(45), (2023). https://doi.org/ 10.1007/s41980-023- 00791-7
    • B.B. Upadhyay, A. Ghosh, I.M. Stancu Minasian: Second-order Optimality Conditions and Duality for Multiobjective Semi-infinite Programming Problems on Hadamard Manifolds, Asia Pacific Journal of Operational Research, (2023). https://doi.org/10.1142/S0217595923500197
    • B.B. Upadhyay, A. Ghosh: On Constraint Qualifications for Mathematical Program- ming Problems with Vanishing Constraints on Hadamard manifolds, Journal of Optimization Theory and Applications, (2023). https://doi.org/10.1007/s10957-023-02207-2
    • A Ghosh, B.B. Upadhyay, I.M. Stancu-Minasian: Pareto efficiency criteria and dual- ity for multiobjective fractional programming problems with equilibrium constraints on Hadamard manifolds, Mathematics, 1-28 (2023). https://doi.org/10.3390/math11173649
    • B.B. Upadhyay, A. Ghosh, R.N. Mohapatra: Mond-Weir and Wolfe type duality for nonsmooth multiobjective fractional programming problems with equilibrium constraints on Hadamard manifolds. (Accepted ) Commun. Optim. Theory. (2023).
    • B.B. Upadhyay, S.K. Singh: Optimality and duality for nonsmooth semidefinite multi- objective fractional programming problems using convexificators, UPB Scientific Bulletin, Series A: Applied Mathematics and Physics, 85(4) 79-90 (2023).
    • A. Ghosh, B.B. Upadhyay, I.M. Stancu-Minasian: Constraint qualifications for multi- objective programming problems on Hadamard manifolds, Australian Journal of Mathematical Analysis and Applications 20 (2), 1-18 (2023).
    • B.B. Upadhyay, L. Li, P. Mishra: Nonsmooth interval-valued multiobjective optimiza- tion Problems and generalized variational inequalities on Hadamard manifolds, Applied Set-Valued Analysis and Optimization, 5(1), 69-84 (2023).
    • B.B. Upadhyay, A. Ghosh, I.M. Stancu-Minasian: Duality for Multiobjective Pro- gramming Problems with Equilibrium Constraints on Hadamard Manifolds under Gener- alized Geodesic Convexity, WSEAS Transaction on Mathematics, 22(31), 259-270 (2023). https://doi.org/ 10.37394 / 23206.2023 .22
    • S. Treanta, B.B. Upadhyay, A. Ghosh, K. Nanlaopma: Optimality Conditions for Multiobjective Mathematical Programming Problems with Equilibrium Constraints on Hadamard Manifolds, Mathematics, 10(19), 1-20 (2022). https://doi.org/10.3390/math10193516
    • B.B. Upadhyay, A. Ghosh, P. Mishra, S. Treanta: Optimality conditions and dual- ity for multiobjective semi-infinite programming problems on Hadamard manifolds using generalized geodesic convexity, RAIRO Operations Research, 56(4), 2037-2065 (2022). https://doi.org/ 10.1051/ro/2022098.
    • B.B. Upadhyay, S. Treanta and P. Mishra: On Minty Variational Principle for Nons- mooth Multiobjective Optimization Problems on Hadamard Manifolds, Optimization, 71 (6), 1-19 (2022). doi.org/10.1080/02331934.2022.2088369
    • B.B. Upadhyay, I.M. Stancu-Minasian and P. Mishra: On relations between nonsmooth interval-valued multiobjective programming problems and generalized Stampacchia vector variational inequalities, Optimization, 72(10), 2635-2659 (2022). https://doi.org/10.1080/02331934.2022.2069569
    • S. Treanta, P. Mishra, B.B. Upadhyay: Minty Variational Principle for Nonsmooth Interval-Valued Vector Optimization Problems on Hadamard Manifolds, Mathematics, 10(3), 1-15 (2022). https://doi.org/10.3390/math10030523
    • B.B. Upadhyay, T. Antczak, S.K. Mishra, K. Shukla: Nondifferentiable generalized minimax fractional programming under (phi,rho)-invexity, Yugoslav Journal of Operations Research 31(1), 3-27 (2022). https://doi.org/10.2298/YJOR200915018U
    • B.B. Upadhyay, I.M. Stancu-Minasian, P. Mishra, R. Mohapatra: On Generalized Vec- tor Variational Inequalities and Nonsmooth Vector Optimization Problems on Hadamard Manifolds involving Geodesic Approximate Convexity, Advances in Nonlinear Variational Inequalities, 25(2), 1-25 (2022).
    • B.B. Upadhyay, P. Mishra, R. Mohapatra: On Relations between Nonsmooth Interva-Valued Vector Optimization Problems and Vector Variational Inequalities on Hadamard Manifolds, Advances in Nonlinear Variational Inequalities, 25(2), 75-81 (2022).
    • T. Antczak, S.K. Mishra and B.B. Upadhyay: Optimality conditions and duality for generalized fractional minimax program involving locally Lipschitz (b, ψ, ϕ, ρ)-invexity, Control and Cybernetics, 47(1), 5-32 (2018).
    • B.B. Upadhyay and R.N. Mohapatra: Sufficient optimality conditions and duality for mathematical programming problems with equilibrium constraints, Communications on Applied Nonlinear Analysis, 25(4), 68-84 (2018).
    • B.B. Upadhyay, N. Priyobarta, Y.S. Rohen: Sufficient optimality conditions and du- ality for nonsmooth multiobjective problems via higher order strong convexity, Yugoslav Journal of Operations Research, 27(2) 227-242 (2017). https://doi.org/10.2298/YJOR170119013U
    • B.B. Upadhyay, R. N. Mohapatra, S. K. Mishra: On relationships between vector variational inequality and nonsmooth vector optimization problems via strict minimizers, Advances in Nonlinear Variational Inequalities, 20(2), 1-16 (2017).
    • N. Priyobarta, Y.S. Rohen, B.B. Upadhyay: Some fixed point result in fuzzy cone metric spaces, International Journal of Pure and Applied Mathematics, 109(3), 573-582 (2017). https://doi.org/10.12732/ijpam.v109i3.7
    • T. Antczak, S.K. Mishra and B.B. Upadhyay: First order duality results for a new class of nonconvex semi-infinite minimax fractional programming problems, Journal of Advanced Mathematical Studies, 9(1), 132-162 (2016).
    • B.B. Upadhyay, S.K. Mishra: Nonsmooth semi-infinite minmax programming involving generalized (Φ, ρ)-invexity, Journal of System Sciences and Complexity. 28(4), 857-875 (2015). https://doi.org/10.1007/s11424-015-2096-6
    • B.B. Upadhyay, S.K. Mishra and S.K. Porwal: Explicitly geodesic B-preinvex functions on Riemannian manifolds, Transactions on Mathematical Programming and Applications, 3(2), 1-14 (2015).
    • S.K. Mishra, B.B. Upadhyay and L.T. Hoai An: Lagrange multiplier characterization of Solution sets of constrained nonsmooth pseudolinear Optimization Problems, Journal of Optimization Theory and Applications, 160(3), 763-777 (2014). https://doi.org/10.1007/s10957-0130313-9
    • S.K. Mishra, B.B. Upadhyay: Nonsmooth Minimax Fractional Programming Involving η Pseudolinear Functions, Optimization, 63(5), 775-788 (2014). https://doi.org/DOI:10.1080/02331934.2012.689833
    • S.K. Mishra, B.B. Upadhyay: Some relations between vector variational inequality problems and nonsmooth vector optimization problems using quasi efficiency, Positivity, 17(4), 1071-1083 (2013).
    • Y. Singh, A. Kumar, B.B. Upadhyay, V. Singh: On sufficiency in multiobjective programming involving generalized (G, C, ρ )-type I functions, Yugoslav Journal of Operations Research, 23(1), 65-76 (2013).
    • S.K. Mishra, B.B. Upadhyay: Efficiency and Duality in Nonsmooth Multiobjective Fractional Programming Involving η-Pseudolinear Functions, Yugoslav Journal of Operations Research, 22(1), 3-18 (2012).
    • S. K. Mishra and B. B. Upadhyay.:Duality in non-smooth multi-objective programming involving η-pseudolinear functions, Indian Society of Industrial and Applied Mathematics, vol. 3, pp. 152–161, 2012.
      • !-
  • Refereed Book Chapter(s)
  • B.B. Upadhyay, P Mishra: On interval-valued multiobjective programming problems and vector variational-like inequalities using limiting subdifferential, Computational Management, In: Patnaik S., Tajeddini K., Jain V. (eds.) Computational Management. Modeling and Optimization in Science and Technologies, Vol. 18. Springer, Cham. pp. 325-343 (2021) DOI: https://doi.org/10.1007/978-981-3-030- 72929-5_15
  • B.B. Upadhyay, Stancu Minasian, Shivani sain; P Mishra: Generalized Minty and Stampacchia Vector Variational like Inequalities and Interval valued vector Optimization Problems, In: Continuous Optimization and Variational Inequalities, Jayaswal, A., and Antczak, T., pp 198-218 (2022) CRC Press, DOI:10.1201/9781003289883-9

Chapter in Proceeding(s)

  • B.B. Upadhyay, Priyanka Mishra, R.N. Mohapatra, S.K. Mishra “On the applications of nonsmooth vector optimization problems to solve generalized vector variational inequalities using convexificators”, Advances in Intelligent Systems and Computing, Springer 2019 (Co-authored with) DOI: 10.1007/978-3-030-21803-4_66
  • B.B. Upadhyay and P. Mishra: On vector variational inequalities and vector optimization problems, Soft Computing, Theories and Applications Advances in Intelligent System and Computing, Springer 2020, DOI:10.1007/978-981-15-4032-5_25
  • B. B.Upadhyay and A. Shrivastava: Characterization of the solution sets for constrained pseudolinear semi-infinite programming problems, Soft Computing, Theories and Applications, Advances in Intelligent System and Computing, Springer, 2020, DOI: 10.1007/978-981-15-4032-5_26
  • B. B. Upadhyay, P. Mishra, R. N. Mohapatra, and S. K. Mishra, “On the applications of nonsmooth vector
    optimization problems to solve generalized vector variational inequalities using convexificators,” in World
    Congress on Global Optimization, Springer, 2019, pp. 660–671.
  • B. B. Upadhyay and P. Mishra, “On vector variational inequalities and vector optimization problems,” in Soft
    Computing: Theories and Applications: Proceedings of SoCTA 2019, Springer, 2020, pp. 257–267.
Publications (National) :
  • B.B. Upadhyay, P Mishra: On generalized Minty and Stampacchia vector variational like inequalities and nonsmooth vector optimization problem involving higher order strong invexity, Journal of Scientific Research, 64 (1), 182-191 (2020)
  • S.K. Mishra, B.B. Upadhyay, “Duality in Nonsmooth Multiobjective Fractional Programming Involving -Pseudolinear Functions” Indian Journal of Industrial and Applied Mathematics, 3 (1), pp. 152-161, 2012
Journals reviewed :
  • Positivity
  • American Mathematical Society (AMS) - Mathematical Reviews
  • Annals of Operations Research
  • Optimization
  • Mathematics
  • Mathematical Problems in Engineering
  • Mathematical Problems in Physics
  • Control and Optimization in Applied Mathematics
  • Axioms
  • Fractal and Fractional
  • Journal of Optimization Theory and Applications
  • IMA Journal of Management Mathematics
  • Journal of Computational and Applied Mathematics
  • Opsearch
  • Turkish Journal of Mathematics
  • Filomat
  • RAIRO- Operations Research
  • Yugoslav Journal of Operations Research
  • Communication in Optimization Theory
Invited Talk(s)/Presentation(s) :
  • Delivered an expert talk on "Unconstrained Optimization and Cojugate Direction Method" in the "International Workshop on Mastering Optimization: Machine Learning Models and Real World Applications on Data" (IWMOMLMRWA-2024)" held at VIT Bhopal during 10-12th October 2024
  • Delivered an invioted talk on "Quasi-Newton Method for Solving Interval-Valued Multiobjective Optimization Problems" and chaired a session at the "International Conference on Optimization with Artifical Intelligence and Soft-Computing, 2024 (ICOAISC-2024)" held at NIT Nagaland
  • Delivered an invited talk at the “XIV International Symposium on Generalized Convexity and Monotonicity
    (GCM 14)” held at Pisa, Italy, from 02-06th September 2024.
  • Delivered a keynote speech at the "International Workshop on Recent Trends in Applied Mathematics for Engineering and Technology," held on August 05-07, 2024, at the Department of Applied Mathematics, Amity
    University Madhya Pradesh, Gwalior.
  • Delivered an invited talk on "Optimality Conditions and Duality Results for Nonsmooth Multiobjective Programmimg with Vanishing Constraints on Hadamard Manifolds" in the "International Workshop on Applied
    Analysis and Optimization (IWAAO-2024)" held at Research Centre of Interneural Computing at China Medical
    University, Taichung, Taiwan. during June 28th-29th, 2024
  • Delivered a series of talks on "Complex Analysis, Laplace Transform and Its Applications in Engineering" organized by department of Mathematics held between April 26th-May 26, 2024 at SNS College of Engineering, Coimbatore„ Tamilnadu.
  • Delivered a series of talk on "On Complex Analysis and Its Applications" in the "Five Day Lecture Series on
    Engineering Mathematics" organized by department of Science and Humanties (Mathematics) held between
    April 17- May 4, 2024 at National Institute of Technology Nagaland.
  • Delivered a talk on "On Constraint Qualifications for Nonsmooth Multiobjective Mathematical Programming Problems with Equilibrium Constraints" in International conference on Bilevel Optimization (ICBO-2023) held between August 8- 11, 2023 at University of Southampton, United Kingdom.
  • Given a Keynote speech "On Constraint Qualifications for Mathematical Programming Problems with Vanishing Constraints on Hadamard Manifolds" and chaired a session in the ’2nd International Conference On Recent Advances in Mathematical Sciences and Interdisciplinary Areas’ (RAMSIA-2023) organized by Department of Mathematics Institute of Applied Sciences and Humanities, GLA University, Mathura.
  • Given a talk on “Linear and Nonlinear Programming: An Overview” in Continuous Education Program (CEP) namely “Resource Optimization in Process Industries” (ROPI-2023) held during February 17-19, 2023 at IIT Patna
  • Delivered an invited talk ion “On Nonsmooth Interval-valued multiobjective programming Problems and generalized Stampacchia Vector Variational Inequalities”in “International Symposium on Applied Optimization and Game Theoretic Models for Decision Making”held between February 01-03, 2021 at Indian Statistical Institute Delhi Centre, Delhi India.
  • Delivered a Key Note Speech titled "On Vector Variational Inequalities and Its Applications: A Finite Dimensional Overview" in "the International Conference on Recent Advances in Mathematical Sciences an Interdisciplinary Areas (RAMSIA-2022)", held in online mode at GLA University Mathura, India on June 23-25, 2022, organized by the Department of Mathematics, GLA University, Mathura, India.
  • Delivered an Invited Talk on "Convex functions and Its Applications in Constrained Optimization" Workshop on Nonlinear Optimization, Variational inequalities and Artificial Intelligence (WNVIA-2021)", _at Manav Rachna University_ (March 22nd-26th, 2021)
  • Delivered an Invited Talk on "Convexity and it's Applications in Constrained Optimization", QIP Sponsored Short Term Course on "Mathematical Optimization and Applications", _Department of Mathematics, IIT Indore_ (March 22nd -27th, 2021)
  • Delivered an invited talk on the topic "On generalized vector variational inequalities and nonsmooth multi-objective programming problems in Asplund spaces" in special session entitled "_Optimal Methods in Applicable Analysis: Approximation and Optimization, Cyber Security and Geometric Function Theory (SS 42 A)" _in 2021 Joint Mathematics Meetings of the American Mathematical Society (Meeting #1163) held in the Washington DC (at the Walter E. Washington Convention Center, Washington DC), USA from January 6-9, 2021 (Weds.-Sat.)
  • Delivered an invited talk On "Nonlinear Optimization with equality and inequality constraints" in ‘Five Day Online Faculty Development Program on "Optimization Technique and Applications", Department of Computer Science and Engineering, _National Institute of Technology Andhra Pradesh_ (September 21st-25th, 2020)
  • Delivered an invited talk on “Generalized Nonsmooth Stampacchia Vector Variational Inequalities and Nonsmooth Multiobjective Optimization Problems using Michel Penot subdifferential” and chaired a session in _ “Indo French Seminar on Optimization Variational Analysis and Applications (IFSOVAA-20)”_ held at Department of Mathematics, Institute of Science, Banaras Hindu University, Varanasi, India from February 02nd -04, 2020.
  • Delivered an invited talk on “Generalized Stampacchia Vector Variational Inequalities and Nonsmooth Multiobjective Optimization Problems using Michel Penot subdifferential” in “_2nd National Conference on Recent Trends in Mathematics with Applications (NCRTMA-20)” _held at Shri Ramswaroop Menorial University, Lucknow India from January 30th -31, 2020.
  • Delivered an invited talk on “Generalized Stampacchia Vector Variational Inequalities and Nonsmooth Multiobjective Optimization Problems” and chaired a session in “_International Conference on Mathematical Analysis and Computing (ICMAC-2019)”_ held at Department of Mathematics SSN College of Engineering, Chennai, India from December 23rd -24th, 2019.
  • Delivered a series of lectures on the Applications of Matlab (Optimization toolbox) in Linear and Nonlinear Optimization in 'One Week Workshop on Matlab/Simulink in Engineering Applications" held at Birla Institute of Technology Mesra Patna (14th-18th October 2019).
  • Given an invited talk on the topic “Optimization and Its Applications in Engineering” at Lok Nayak Jai Prakash Institute of Technology (LNJPIT) Chapra, Bihar on 25th August 2019 under TEQIP-III Scheme.
  • Given an invited talk on the topic “On the Applications of Nonsmooth Vector Optimization Problems to Solve Generalized Vector Variational Inequalities Using Convexificators” in the 6th World Congress on Global Optimization WCGO 2019 held at University of Lorrain, Metz France held between July 8th-July 10th 2019.
  • Given an invited talk on the topic “On Generalized Vector Variational Inequalities and Nonsmooth Vector Optimization Problems Using Convexificators” in the 2019 Spring Joint Central Western Section Meeting of American Mathematical Society held between March 22 – 24, 2019, at the University of Hawaii at Manoa, Honolulu, HI, USA.
  • Talk on the topic “Relations between vector variational like inequalities and vector optimization problems in Asplund spaces” in The International Conference on Continuous Optimization-2016 (ICCOPT-16) held in Tokyo from August 6th to August 11th, 2016.
  • Visited DST-Centre for Interdisciplinary Mathematical Sciences, Banaras Hindu University, Varanasi from July 1st to July 12th, 2015 and given a talk on "Pseudolinear Functions and Its Applications in Optimization" at 10th July 2015.
  • Paper entitled “On Vector Variational Inequalities and Nonsmooth Vector pseudolinear Optimization Problems” in “Workshop on Applied Optimization Models and Computing (WAOMC-15)” organized by Indian Statistical Institute, Delhi Centre (January 28-January 31, 2015).
  • Paper entitled ‘Lagrange Multiplier Characterizations of the Solution Sets of Constrained Nonsmooth Pseudolinear Optimization Problems’ in ‘CIMPA-UNESCO-INDIA Research School 2013’ on the topic ‘Generalized Nash Equilibrium Problems, Bilevel Programming and MPEC’ organized by Department of Mathematics, University of Delhi, India (November 25-December-06, 2013).
  • Paper entitled ‘Optimality via Generalized Approximate Convexity and Quasi Efficiency Using Limiting Subdifferential’ at 78th Annual Conference of Indian Mathematical Society (IMS) held at Banaras Hindu University, Varanasi organized by Department of Mathematics and DST-CIMS, BHU, India (January 22-25, 2013).
  • Paper entitles ‘Some Relations Between Vector Variational Inequality Problems and Nonsmooth Vector Optimization Problems’ in ‘International Symposium on Applied Optimization and Game Theoretic Models’ organized by Indian Statistical Institute, Delhi (January 09-11, 2013).
  • Paper entitled ‘On relations between Minty vector variational like inequalities and vector optimization problems in Asplund spaces’ in ‘International Conference on Optimization, Modeling and Applications’ organized by Department of Operations Research, University of Delhi, Delhi (November 29- December 01, 2012).
  • Paper entitled ‘Characterizations of the Solution set and Sufficient Optimality Criteria via Higher Order Strong Convexity for Lipschitz functions’ in ‘International Conference on Game Theory, Operations Research and its Applications’ organized by Indian Statistical Institute, Chennai Centre (January 05-07, 2012).
  • Paper entitled ‘Nonsmooth Minimax Fractional programming involving eta-Pseudolinear Functions’ in ‘International Conference on Frontier in Applied Mathematics and its Computational Aspects’ organized by Department of Applied Mathematics, University of Calcutta, (March 15-17, 2011).
Seminar(s)/ Conference(s)/
Workshop(s)/Symposium		 :
  • ‘Training program on ‘LATEX and Other Open Source Software’ organised by D.S.T. Centre for Interdisciplinary Mathematical Sciences, BHU. Varanasi (December 07- 12, 2009).
  • ‘International Conference on Optimization and its Applications’ organized by Department of Mathematics, Banaras Hindu University, Varanasi (February16-18, 2010).
  • ‘Satellite Conference on International Congress of Mathematician 2010(ICM 2010) on Mathematics in Science and Technology’ jointly organized by ISIAM and Sharda University, (August 14-17, 2010).
  • ‘Workshop on Variational Analysis and Optimization with Applications to PDEs’ organized by Indian Institute of Technology, Gandhinagar (April 1-4, 2011).
  • ‘Workshop on Differential Geometry’ organized by D.S.T. Centre for Interdisciplinary Mathematical Sciences, BHU. Varanasi (May 2-11, 2011).
  • ‘National Instructional Workshop on Graph Theory and its Applications’ organized by D.S.T. Centre for Interdisciplinary Mathematical Sciences, BHU. Varanasi (May 23-28, 2011).
  • ‘International Conference on Analysis and its Applications’ organized by Aligarh Muslim University, Aligarh (November 19-21, 2011).
  • ‘Advance Training Program on Recent Development in Optimization (ATPOA)’ organized by D.S.T. Centre for Interdisciplinary Mathematical Sciences, BHU. Varanasi (November 23-28, 2011).
  • ‘Workshop on Game Theory’ organized by Indian Statistical Institute, Chennai Centre (January 03-04, 2012)
  • ‘Training Programme on Optimization and Its Applications’ Department of Operations Research, University of Delhi, Delhi (November 26- December 01, 2012).
  • ‘Advance Training Programme on Nonlinear Functional Analysis and its Applications (ATP-NFAA)’ organized by D.S.T.-Centre for Interdisciplinary Mathematical Sciences and Department of Mathematics, BHU. Varanasi (March 04-10, 2013).
  • ‘CIMPA-UNESCO-INDIA Research School 2013’ on the topic ‘Generalized Nash Equilibrium Problems, Bilevel Programming and MPEC’ organized by Department of Mathematics, University of Delhi, India (November 25-December-06, 2013).
Research Collaboration(s) :
  • Jen-Chih Yao Center for General Education, ChinaMedical University, Taichung, Taiwan Academy of Romanian Scientists, 50044 Bucharest, Romania E-mail: yaojc@mail.cmu.edu.tw
  • Xiaopeng Zhao School of Mathematical Sciences, Tiangong University, Tianjin 300387, China
  • Akhtar A Khan Professor of Mathematics, College of Science, Rochester Institute of Technology, USA.
    Email address: aaksma@rit.edu
  • Nader Kanzi Professor of Mathematics, Payame Noor University (PNU), Tehran, Iran.
    Email address: nad.kanzi@gmail.com
  • Le Thi Hoai An Professor, University of Lorraine, France.
    Email address: hoai-an.le-thi@univ-lorraine.fr
  • Ram Mohapatra Professor, Department of Mathematics, University of Central Florida, Orlando, FL 32816, USA
    Email address: ram.mohapatra@ucf.edu
  • Pierre Maréchal Professor of Mathematics at Université Paul Sabatier, Toulouse, France.
    Email address: pr.marechal@gmail.com
  • Savin Treanţă Faculty of Applied Sciences, University of Politehnica of Bucharest, Romania
    Email address: savin.treanta@upb.ro
  • Shengda Zeng Faculty of Mathematics and Computer SCience, Jagiellonian University in Krakow, Krakow, Poland
    Email address: zengshengda@163.com
  • Jinlan Pan Faculty in Guangxi Colleges, Universities Key Laboratory of Complex System, Optimization and Data Processing, Yulin Normal University, 537000 Yulin, PR China.
    Email address: xiezhenhuangylnu@163.com
  • Shanli Liao Faculty in Guangxi Colleges, Universities Key Laboratory of Complex System, Optimization and Data Processing, Yulin Normal University, 537000 Yulin, PR China.
    Email address: shanliliaoyln@163.com
  • I. M. Stanću Minasian Assistant Professor, Institute of Mathematical Statistics and Applied Mathematics of the Romanian Academy, 050711 Bucharest, Romania.
    Email address: stancu_minasian@yahoo.com
  • Tadeusz Antczak Faculty of Mathematics and Computer Science, Lodz University of Technology, Poland.
    Email address: tadeusz.antczak@wmii.uni.lodz.pl
International University Visit(s) :
  • National Sun Yat-Sen University, Taiwan (28th June 2024-15th July 2024)
  • Rochester Institute of Technology, Rochester, New York, USA (October 2023-March 2024
  • University of Southampton, Southampton, UK in August 2023
  • University of Lorraine, Metz, France in July 2019
  • University of Hawaii at Manoa, Honolulu, HI, USA in March 2019
  • Tokyo Institute of Technology in August 2016
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