Dr. Balendu Bhooshan Upadhyay 


Dr. B. B. Upadhyay 
Assistant Professor 
Ph.D, Banaras Hindu University 
Ph: +91612302 8721 
Fax: +91612227 7383 
bhooshan[*AT]iitp.ac.in 

Research Areas 
: 
 Nonlinear Optimization
 Variational Inequality
 Semiinfinite Programming
 Fixed Point Theory
 Differential Manifolds

Ph.D. Students (Submitted/Awarded) 
: 
Sr. No.  Name  Duration  Title of the Thesis 
1. 
Priyanka Mishra 
Registered: July 2018 Final Viva: August 2022 
On Generalized Vector Variational Inequalities and Nonsmooth IntervalValued Multiobjective Optimization (Awarded). 

Ph.D. Students (Ongoing) 
: 
 Arnav Ghosh (Registered in August 2020)
 Rupesh Kumar Pandey (Registered in August 2020)
 Sushil Kumar Tiwari (Registered in January 2021)

M. Sc. Students 
: 
M. Sc. dissertation (Completed)
 Shivani Saini, IIT Patna
 Subham Poddar, IIT Patna
 Vishal Mane, IIT Patna
M. Sc. dissertation (Ongoing)
 Archana Kumari, IIT Patna
 Shubham Kumar Singh, IIT Patna
M. Sc. Internship
 Hrishabh Mishra, NITR (June 2022)

M. Tech. Student 
: 
1. Pankaj Chahal, IIT Patna 
Teaching 
: 
Topics at UG and PG Levels (in BHU, NIT Manipur and IIT Patna):
 Numerical Optimization
 Operations research
 Optimization Techniques
 Modern Algebra
 Linear Algebra
 Numerical Methods
 Real Analysis
 Complex Analysis
 Tensor and Geometry

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

Activity with Students 
: 
Guided following students for their M. Sc. dissertations:
 Y. Linthoigambi (NIT Manipur)
 L. Haokip Gin (NIT Manipur)
 K. Amarjit Singh (NIT Manipur)
 Kh. Manglem Singh (NIT Manipur)

Sponsored Project 
: 
Title  PI / CoPI  Sponsored by 
 Towards New Platform on Generalized Vector Variational Inequalities: Scope in Optimization and Bilevel Programming

Dr. Balendu Bhooshan Upadhyay (PI) 
‘Science and Engineering Research Board’ (SERBECR), DST, Government of India 
 Investigation of bifharmonic and fbiharmonic maps on Finsler spaces

Dr. Balendu Bhooshan Upadhyay (CoPI) 
'TEQIPIII Collaborative Research Scheme' of National Project Implementation Unit, MHRD, Government of India 
 Working on a research project titled “On the Existence of the Solution Set of Mixed Vector QuasiHemivariational 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 13/01/202312/01/2026) with total cost INR 6,60,000/ 

Professional Experience 
: 
 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)

Administrative Responsibility 
: 
 Warden (Married and Raman Hostel) at IIT Patna since 1st August 2020till date.
 Associate Warden (Married and Raman Hostel) at IIT Patna since 7th May 201931st 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 PostDoctoral Fellowship of National Board for Higher Mathematics(NBHM)2014
 Award of the Travel Grant from SERB (SB/LRS.Y/O 4358120'T31 4) to participate in 9th Int. Conf. on Optimization Techniques and Application in Taiwan in 2013
 CSIRUGC (NETJRF)2010 (all India rank036).
 GATE2011
 Research Fellowship by UGC(From October2009 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 78^{th} 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” (ROPI2023) jointly by Department of Mathematics and Department of Chemical and BioChemical Engineering, IIT Patna between October 17th 19th February 2023 (with 45 Participants)
 Organized (Coconvener) a regional workshop of “Indian Women and Mathematics: Research and Opportunities” held at the Department of Mathematics, IIT Patna from 0405th December 2021 (Sponsored by National Board for Higher Mathematics (NBHM) and Committee for Women in Mathematics (CWM), International Mathematical Union (IMU)).
 2. Organized (Coconvener) a regional workshop of “Indian Women and Mathematics: Research and Opportunities” held at the Department of Mathematics, IIT Patna from 0405th 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" (RTCOTAA2020) at Department of Mathematics, IIT Patna, between October 29thOctober 31st 2020.
 Organized (Coconvener) an international Conference on “Emerging Trends in Science and Engineering Research” held at NIT Manipur from 02nd04th December 2015.

Books 
: 

Publications (International) 
: 
Peer Reviewed Journals:
 BB Upadhyay, A Ghosh: ,On Constraint Qualifications for Mathematical Programming Problems with Vanishing Constraints on Hadamard manifolds, Journal of Optimization Theory and Applications, doi.org/10.1007/s10957023022072 (2023) Impact Factor: 2.189, Q1, MCQ:1.01
 BB Upadhyay, Lijie Li, A Ghosh: Nonsmooth intervalvalued multiobjective optimization Problems and generalized variational inequalities on Hadamard manifolds, Applied SetValued Analysis and Optimization, 5 (1) 6984, (2023), https://doi.org/10.23952/asvao.5.2023.1.05, Q1, Cite Score: 2.70
 Savin Treanta, B.B. Upadhyay, Arnav, Ghosh, Nanlaopma, K.: Optimality Conditions for Multiobjective Mathematical Programming Problems with Equilibrium Constraints on Hadamard Manifolds, Mathematics, 10 (19), 3516 (2022) Impact Factor: 2.592, Q1
 B.B. Upadhyay, Arnav, Ghosh, Priyanka Mishra, Savin Treanta: Optimality conditions and duality for multiobjective semiinfinite programming problems on Hadamard manifolds using generalized geodesic convexity, RAIRO Operations Research, 56(4) 20372065 (2022) DOI: 10.1051/ro/2022098, Impact Factor: 2.526, Q1
 B.B. Upadhyay, Savin Treanta and Priyanka Mishra On Minty Variational Principle for Nonsmooth Multiobjective Optimization Problems on Hadamard Manifolds, Optimization, 71 (6), 119, 2022, doi.org/10.1080/02331934.2022.2088369, Impact Factor: 2.456, Q1, Hindex: 46; MCQ: .99
 B.B. Upadhyay, I.M. StancuMinasian and Priyanka Mishra On relations between nonsmooth intervalvalued multiobjective programming problems and generalized Stampacchia vector variational inequalities Optimization, (2022) doi:02331934.2022.2069569 Impact Factor: 2.360, Q1, Hindex: 46; MCQ: .99
 Savin Treanta, Priyanka Mishra, B.B. Upadhyay: Minty Variational Principle for Nonsmooth IntervalValued Vector Optimization Problems on Hadamard Manifolds, Mathematics, 2022, 10, 523. https://doi.org/10.3390/math10030523 Impact Factor: 2.592, Q1
 B.B. Upadhyay, S.K. Mishra,: Nonsmooth semiinfinite minmax programming involving generalized invexity, Journal of System Sciences and Complexity. August 2015, 28(4), pp 857875 DOI: 10.1007/s1142401520966.
 S.K. Mishra, B.B. Upadhyay, L.T. Hoai An: Lagrange multiplier characterization of Solution sets of constrained nonsmooth pseudolinear Optimization Problems, Journal of Optimization Theory and Applications, Springer, 160 (3), pp. 763777 (2014) DOI 10.1007/s1095701303139.
 S.K. Mishra, B.B. Upadhyay: Nonsmooth Minimax Fractional Programming Involving Pseudolinear Functions, Optimization, 63 (5), pp. 775–788 (2014) Taylor & Francis, DOI:10.1080/02331934.2012.689833, ISBN:02331934 (Print), 10294945 (Online).
 S.K. Mishra, B.B. Upadhyay: Some relations between vector variational inequality problems and nonsmooth vector optimization problems using quasi efficiency, Positivity, Springer, 17, pp. 10711083 (2013) ISSN: 13851292 (Print) 15729281 (Online).
 S.K. Mishra, B.B. Upadhyay: Efficiency and Duality in Nonsmooth Multiobjective Fractional Programming Involving Pseudolinear Functions, Yugoslav Journal on Operations Research, 22 (1), pp. 318, 2012.
 Yadvendra Singh, Amod Kumar, B.B. Upadhyay, Vinay Singh: On sufficiency in multiobjective programming involving generalized (G, C, )type I functions, Yugoslav Journal on Operations Research, 23 (1), pp. 6576, 2013.
 B.B. Upadhyay, S.K. Mishra and S.K. Porwal: Explicitly geodesic Bpreinvex functions on Riemannian manifolds, Transactions on Mathematical Programming and Applications, 3(2), pp. 114, 2015
 Tadeusz Antczak, S.K. Mishra and B.B. Upadhyay: First order duality results for a new class of nonconvex semiinfinite minimax fractional programming problems, Journal of Advanced Mathematical Studies, 9(1) pp. 132162, 2016.
 B B Upadhyay, N. Priyobarta, Y.S. Rohen: Sufficient optimality conditions and duality for nonsmooth multiobjective problems via higher order strong convexity, Yugoslav Journal of Operations Research, 27(2) 227242, 2017
 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), 116, 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), 573582, 2017.
 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) 6884, 2018.
 T. Antczak, S.K. Mishra and B.B. Upadhyay: Optimality conditions and duality for generalized fractional minimax program involving locally Lipschitz invexity, Control and Cybernetics, 47(1), 532, 2018.
 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 DOI: 10.1007/9783030218034_66
Refereed Book Chapter(s)
 B.B. Upadhyay, P Mishra: On intervalvalued multiobjective programming problems and vector variationallike 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. 325343 (2021) DOI: https://doi.org/10.1007/9789813030 729295_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 198218 (2022) CRC Press, DOI:10.1201/97810032898839
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 (Coauthored with) DOI:10.1007/9783030218034_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:10.1007/9789811540325_25
 B. B.Upadhyay and A. Shrivastava: Characterization of the solution sets for constrained pseudolinear semiinfinite programming problems, Soft Computing, Theories and Applications, Advances in Intelligent System and Computing, Springer, 2020, DOI: 10.1007/9789811540325_26
 B.B. Upadhyay, P. Mishra:On Minty Variational Principle for Nonsmooth IntervalValued Multiobjective Programming Problems, Proceeding of Indo French Seminar on Optimization, Variational Analysis and Applications (IFSOVAA2020), Springer, pp. 258282 (2021) Springer Proc. Math. Stat., 355,DOI: 10.1007/9789811618192_12
 B.B. Upadhyay, P. Mishra:On Generalized Vector VariationalLike Inequalities and Nonsmooth Multiobjective Programming Problems Using Limiting Subdifferential, Proceeding of the International Conference on Mathematical Analysis and Computing (ICMAC 2019), Springer, pp. 443458 (2021) Springer Proc. Math. Stat., 344, DOI: 10.1007/9789813346468_36

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), 182191 (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. 152161, 2012

Journals reviewed 
: 
 Yugoslav Journal of Operations Research
 Mathematics
 Optimization
 Mathematical Problems in Engineering
 Mathematical Problems in Physics
 Control and Optimization in Applied Mathematics

 IMA Journal of Management Mathematics
 Opsearch
 Turkish Journal of Mathematics
 Journal of Computational and Applied Mathematics
 Filomat


Invited Talk(s)/Presentation(s) 
: 
 Given a talk on “Linear and Nonlinear Programming: An Overview” in Continuous Education Program (CEP) namely “Resource Optimization in Process Industries” (ROPI2023) held during February 1719, 2023 at IIT Patna
 Given an invited talk ion “On Nonsmooth Intervalvalued 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 0103, 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 (RAMSIA2022)", held in online mode at GLA University Mathura, India on June 2325, 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 (WNVIA2021)", _at Manav Rachna University_ (March 22nd26th, 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 multiobjective 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 69, 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 21st25th, 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 (IFSOVAA20)”_ 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 (NCRTMA20)” _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 (ICMAC2019)”_ 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 (14^{th}18^{th} 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 TEQIPIII 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 6^{th} World Congress on Global Optimization WCGO 2019 held at University of Lorrain, Metz France held between July 8^{th}July 10^{th} 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 Optimization2016 (ICCOPT16) held in Tokyo from August 6^{th} to August 11th, 2016.
 Visited DSTCentre 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 10^{th} July 2015.
 Paper entitled “On Vector Variational Inequalities and Nonsmooth Vector pseudolinear Optimization Problems” in “Workshop on Applied Optimization Models and Computing (WAOMC15)” organized by Indian Statistical Institute, Delhi Centre (January 28January 31, 2015).
 Paper entitled ‘Lagrange Multiplier Characterizations of the Solution Sets of Constrained Nonsmooth Pseudolinear Optimization Problems’ in ‘CIMPAUNESCOINDIA Research School 2013’ on the topic ‘Generalized Nash Equilibrium Problems, Bilevel Programming and MPEC’ organized by Department of Mathematics, University of Delhi, India (November 25December06, 2013).
 Paper entitled ‘Optimality via Generalized Approximate Convexity and Quasi Efficiency Using Limiting Subdifferential’ at 78^{th} Annual Conference of Indian Mathematical Society (IMS) held at Banaras Hindu University, Varanasi organized by Department of Mathematics and DSTCIMS, BHU, India (January 2225, 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 0911, 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 0507, 2012).
 Paper entitled ‘Nonsmooth Minimax Fractional programming involving etaPseudolinear Functions’ in ‘International Conference on Frontier in Applied Mathematics and its Computational Aspects’ organized by Department of Applied Mathematics, University of Calcutta, (March 1517, 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 (February1618, 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 1417, 2010).
 ‘Workshop on Variational Analysis and Optimization with Applications to PDEs’ organized by Indian Institute of Technology, Gandhinagar (April 14, 2011).
 ‘Workshop on Differential Geometry’ organized by D.S.T. Centre for Interdisciplinary Mathematical Sciences, BHU. Varanasi (May 211, 2011).
 ‘National Instructional Workshop on Graph Theory and its Applications’ organized by D.S.T. Centre for Interdisciplinary Mathematical Sciences, BHU. Varanasi (May 2328, 2011).
 ‘International Conference on Analysis and its Applications’ organized by Aligarh Muslim University, Aligarh (November 1921, 2011).
 ‘Advance Training Program on Recent Development in Optimization (ATPOA)’ organized by D.S.T. Centre for Interdisciplinary Mathematical Sciences, BHU. Varanasi (November 2328, 2011).
 ‘Workshop on Game Theory’ organized by Indian Statistical Institute, Chennai Centre (January 0304, 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 (ATPNFAA)’ organized by D.S.T.Centre for Interdisciplinary Mathematical Sciences and Department of Mathematics, BHU. Varanasi (March 0410, 2013).
 ‘CIMPAUNESCOINDIA Research School 2013’ on the topic ‘Generalized Nash Equilibrium Problems, Bilevel Programming and MPEC’ organized by Department of Mathematics, University of Delhi, India (November 25December06, 2013).


