Mathematics

Dr. Balendu Bhooshan Upadhyay

Balendu Bhooshan Upadhyay

  
Dr. B. B. Upadhyay
Assistant Professor
Ph.D, Banaras Hindu University
Ph: +91-612-302 8721
Fax: +91-612-227 7383
bhooshan[*AT]iitp.ac.in
Research Areas :
  • Nonlinear Optimization
  • Variational Inequality
  • Semi-infinite Programming
  • Fixed Point Theory
  • Differential Manifolds
Ph.D. Students (Submitted/Awarded) :  
Sr. No.NameDurationTitle 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).
Ph.D. Students (Ongoing) :
  1. Arnav Ghosh (Registered in August 2020)
  2. Rupesh Kumar Pandey (Registered in August 2020)
  3. Sushil Kumar Tiwari (Registered in January 2021)
M. Sc. Students : M. Sc. dissertation (Completed)
  1. Shivani Saini, IIT Patna
  2. Subham Poddar, IIT Patna
  3. Vishal Mane, IIT Patna

M. Sc. dissertation (Ongoing)

  1. Archana Kumari, IIT Patna
  2. Shubham Kumar Singh, IIT Patna

M. Sc. Internship

  1. 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 :
TitlePI / Co-PI 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’ (SERB-ECR), DST, Government of India
  • 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
  • Working on a research project titled “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/-
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 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 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)).
  • 2. 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 :
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/s10957-023-02207-2 (2023) Impact Factor: 2.189, Q1, MCQ:1.01
  • BB Upadhyay, Lijie Li, A Ghosh: Nonsmooth interval-valued multiobjective optimization Problems and generalized variational inequalities on Hadamard manifolds, Applied Set-Valued Analysis and Optimization, 5 (1) 69-84, (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 semi-infinite programming problems on Hadamard manifolds using generalized geodesic convexity, RAIRO Operations Research, 56(4) 2037-2065 (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), 1-19, 2022, doi.org/10.1080/02331934.2022.2088369, Impact Factor: 2.456, Q1, H-index: 46; MCQ: .99
  • B.B. Upadhyay, I.M. Stancu-Minasian and Priyanka Mishra On relations between nonsmooth interval-valued multiobjective programming problems and generalized Stampacchia vector variational inequalities Optimization, (2022) doi:02331934.2022.2069569 Impact Factor: 2.360, Q1, H-index: 46; MCQ: .99
  • Savin Treanta, Priyanka Mishra, B.B. Upadhyay: Minty Variational Principle for Nonsmooth Interval-Valued 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 semi-infinite minmax programming involving generalized invexity, Journal of System Sciences and Complexity. August 2015, 28(4), pp 857-875 DOI: 10.1007/s11424-015-2096-6.
  • 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. 763-777 (2014) DOI 10.1007/s10957-013-0313-9.
  • 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:0233-1934 (Print), 1029-4945 (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. 1071-1083 (2013) ISSN: 1385-1292 (Print) 1572-9281 (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. 3-18, 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. 65-76, 2013.
  • 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), pp. 1-14, 2015
  • Tadeusz 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) pp. 132-162, 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) 227-242, 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), 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.
  • 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.
  • 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), 5-32, 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: 10.1007/978-3-030-21803-4_66

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)
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 :
  • 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” (ROPI-2023) held during February 17-19, 2023 at IIT Patna
  • Given 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).

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