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Joydeep Dutta
PhD (IIT Kharagpur)
Professor, Economics Sciences, Department of Economic Sciences
Research Interest
Major Area : Optimization Theory.
Economics Group
Department of Humanities and Social Sciences,
FB 323
Education
Phd, Mathematics, IIT Kharagpur, 1998.
M.Sc., Mathematics, IIT Kharagpur, 1993.
B.Sc., Mathematics (Hons) ,University of Calcutta, (St. Xavier's College) 1991.
Teaching Area
Indian Institute of Technology, KharagpurMATHS 101 - Basic Engineeing Mathematics ( Instructor)Optimization Methods ( Instructor)Numerical Analysis ( Instructor)
Indian Institute of Technology, Kanpur :
ESO 209 : Probability and Statistics ( Tutorial Instructor)
Indian Institute of Technology, Kanpur :
MTH-102 : Linear Algebra and Complex Variables ( Tutorial Instructor)
Indian Institute of Technology, Kanpur :
MTH 506 : Principles of Optimization ( Instructor)
Indian Institute of Technology, Kanpur :
MTH 101 : Calculus (Institute Core-Course) (Instructor/ Tutorial Instructor)
Indian Institute of Technology, Kanpur :
MTH 306 : Linear Programming and Extensions(Instructor)
Indian Institute of Technology, Kanpur :
MTH203 : Ordinary and partial differential equations ( Tutorial Instructor)
Indian Institute of Technology, Kanpur :
MTH102 : Linear Algebra and Complex Variables (Institute Core-Course)(Instructor).
Indian Institute of Technology, Kanpur :
ECO261/261A : Mathematical Economics.
Indian Institute of Technology, Kanpur :
Introduced and taught a new interdisciplinary course titled : Multiobjective Optimization : Theory, Methods and Applications, jointly with Professor Kalyanmoy Deb of the Department of Mechanical Engineering at the Indian Institute of Technology, Kanpur.
Indian Institute of Technology, Kanpur :
Developed and taught a new course titled : Foundations of Mathematical Finance (MTH 512) in the Spring-Semester 2007 and 2013.
Indian Institute of Technology, Kanpur :
Developed and taught a new course titled : Advanced Quantitative Finance (MTH 659) in the Spring-Semester of 2008.
Indian Institute of Technology, Kanpur :
Developed a graduate course titled : Mathematical Analysis for Economists (ECO760A / ECO 760).
Selected Publications
P. Kesarwani, P. K. Shukla, J. Dutta and K. Deb, Approximations for Pareto and proper Pareto solutions and their KKT conditions, to appear in Mathematical Methods of Operations Research., 2022. ( Currently Online)
P. Kesarwani and J. Dutta, Charnes-Cooper Scalarization and Convex Vector Optimization, Optimization Letters, Vol 15, ( 2021), pp 833-846.
S. Dempe, N. Dinh, J. Dutta and T. Pandit, Simple bilevel programming and extensions, Mathematical Programming, Series A, Vol 188, ( 2021), pp 227-253.
P. K. Shukla, J. Dutta, K. Deb and P. Kesarwani, On a practical notion of Geoffrion proper optimality in multicriteria optimization, Optimization, Vol 69, (2019) pp 1513-1539.
D. Aussel, J. Dutta and A. C. Xu, The dual gap function and error bounds for strongly Monotone Variational Inequalities, Journal of Convex Analysis, Vol 25, ( 2018), pp 1121-1138
J. Dutta, P. Kesarwani, S. Gupta, Gap functions and error bounds for nonsmooth convex vector optimization problem., Optimization, Vol 66, (2017), pp 1807-1836.
C. Charitha, J. Dutta and D. R. Luke, Lagrange multipliers, (exact) regularization and error bounds for monotone variational inequalities, Mathematical Programming (Series A), Vol 161, ( 2017), pp 519-549.
J. M. Borwein and J. Dutta, Maximal monotone inclusions and Fitzpatrick functions, Journal of Optimization Theory and Application, Vol 171, ( 2016), pp 757-784.
J. Dutta, Barrier methods in nonsmooth convex optimization without convex representation. Optimization Letters, Vol 9, (2015), pp1177-1185.
C. Charitha, J. Dutta and C. S. Lalitha, Gap functions for vector variational inequalities., Optimization, Vol 64, (2015), pp 1499-1520.
D. Aussel and J. Dutta, Addendum to “Generalized Nash equilibrium problem, variational inequality and quasiconvexity”, Operations Research Letters, Vol 42, ( 2014), pp 6-7.
J. Dutta, K. Deb, R, Arora and R. Tulshyan, Approximate KKT conditions: Theory and numerical Experiments , Journal of Global Optimization, Vol 56, (2013), pp 1463-1499.
J. Dutta and C. S. Lalitha, Optimality conditions for convex optimization revisited, Optimization Letters, Vol 7, (2013), pp 221-229.
J. Dutta, Gap Functions and Error Bounds for Variational and Generalized Varirational Inequalities. Vietnam Journal of Mathematics, Vol 40, (2012). pp 231-253. ( This is a special issue for the 65th birthday of Prof. P. Q. Khanh)
S. Dempe and J. Dutta, Is bilevel programming a special case of mathematical program with complementarity constraints?, Mathematical Programming Series A, Vol 131, 2012, pp 37-48.
J. Dutta and C. Yalcin Kaya, A new scalarization and numerical method for constructing weak Pareto front of multi-objective optimization problem, Optimization, Vol 60, 2011. pp 1091-1104.
M. Durea, J. Dutta and C. Tammer, Stability properties of KKT points in vector optimization, Optimization, Vol 60, 2011, pp 823-838.
D. Aussel and J. Dutta, On gap functions for multivalued Stampacchia variational inequalities, Journal of Optimization Theory and Applications, Vol 149, 2011, 513-527.
Regina Burachik, and J. Dutta Inexact proximal point methods for variational inequality problems. SIAM Journal of Optimization. Vol 20 , 2010, pp 2653– 2678,
C. Charitha, and J. Dutta, Regularized gap functions and error bounds for vector variational inequalities, Pacific Journal of Optimization, Vol 6 , 2010, pp 497–510
J. Dutta, S. R. Pattanaik and Michel Thera, A note on approximate Lagrange multiplier rules, Mathematical Programming , Series B. Vol 123, 2010, pp 161-171
J. Dutta, S. R. Pattanaik and Michel Thera, A note on approximate Lagrange multiplier rules, Mathematical Programming , Series B. Vol 123, 2010, pp 161-171
M. Durea, J. Dutta and Chr. Tammer, “Lagrange multipliers for epsilonPareto solutions in vector optimization with non-solid cones in Banach Spaces” Journal of Optimization Theory and Applications, Vol 145, 2010, pp 196-211
M. Durea and J. Dutta, Lagrange multipliers for Pareto minimum in general Banach spaces , Pacific Journal of Optimization, Vol 4, 2008, pp 447-463.
D. Aussel and J. Dutta, Generalized Nash equilibrium problem, variational inequality and quasiconvexity, Vol 36, Operations Research Letters, 2008, pp 461-464.
J. Dutta, J. E. Martinez-Legaz and A. M. Rubinov, Monotonic analysis over cones – III. Vol 15 Journal of Convex Analysis, 2008, pp 561-579
S. Dempe, J. Dutta, and B. S. Mordukhovich, New necessary optimality conditions in optimistic bilevel programming, Optimization, Vol 56, 2007, pp 577-604.
J. Dutta, Revisiting the Lagrange multiplier rule, Pacific Journal of Optimization, Vol 2, 2006, pp 501-519
J. Dutta and C. S. Lalitha, Bounded sets of KKT multipliers in vector optimization, Journal of Global Optimization, Vol 36, 2006, pp 425-437.
S. Dempe, J. Dutta and S. Lohse Optimality conditions in bilevel programming” , Optimization, Vol 55, 2006, pp 505-524.
J. Dutta and C. Tammer, Lagrangian conditions for vector optimization in Banach Spaces, Mathematical Methods of Operations Research, Vol 64 2006, 521-540.
J. Dutta, Generalized derivatives and nonsmooth optimization – a finite dimensional tour , (Invited Survey) , TOP, Vol 13, 2005, pp 185-314.
J. Dutta, Optimality conditions for maximizing a locally Lipschitz function, Optimization, Vol 54, 2005, pp 377-389.
J. Dutta, “Necessary optimality conditions and saddle points for approximate optimization in Banach Spaces, TOP, (Trabajos de Investagacion Operativa)( Journal of the Spanish Society of Statistics and Operations Research), Vol 13, 2005, pp 143-127.
J. Dutta, J. E. Martinez-Legaz and A, Rubinov, Monotonic analysis over cones-II, Optimization, Vol 53, 2004, pp 529-547.
S. Chandra, J. Dutta and C. S. Lalitha, Regularity Conditions and Optimality in Vector Optimization, Numerical Functional Analysis and Optimization, Vol 25, 2004, pp 479-501.
S. S. Dragomir, J. Dutta and A. Rubinov, Hermite-Hadamard type inequalities for increasing and convex-along rays functions, Analysis(Munich), Vol 24, 2004, 171-181.
J. Dutta, J. E. Martinez-Legaz and A. Rubinov, “Monotonic analysis over cones: I, Optimization, Vol 53, 2004, pp 129-146.
J. Dutta and S. Chandra, Convexifactors, generalized convexity and vector optimization, Optimization, Vol 53, 2004, pp 77-94.
C. S. Lalitha, J. Dutta and M. Govil, On optimality criteria in set-valued optimization, , Journal of Australian Mathematical Society , Vol 75, 2003, pp 221-232.
A. Rubinov and J. Dutta, “Hadamard type inequality for quasiconvex functions in higher dimensions”, Journal of Mathematical Analysis and Applications, Vol 270, No 1, 2002, pp 80-91.
J. Dutta and S. Chandra, “Convexifactors, generalized convexity and optimality conditions”, Journal of Optimization Theory and Applications , Vol 113, no 1. 2002, pp 41-64.
J. Dutta and V. Vetrivel , Mathematical programming with a class of nonsmooth functions, Journal of Systems Science and Complexity, Vol 15 No 1, 2002, pp 52-60.
J. Dutta, and V. Vetrivel, On approximate minima in vector optimization, Numerical Functional Analysis and Optimization, Vol 22, 2001, pp 845-859.
J. Dutta, On generalized pre-invex functions, Asia Pacific Journal of Operational Research, Vol 18, 2001 , pp 257-272.
V. Vetrivel and J. Dutta, Motzkin type alternative theorem and set-valued optimization", Journal of Analysis, Vol 9, 2001, pp 137-147.
J. Dutta, On convex vector optimization, Bulletin of the Australian Mathematical Society , Vol 61, 2000, pp 85-83.
J. Dutta, V. Vetrivel and S. Nanda, Equivalence of optima and saddle point in nonsmooth nonconvex programs, Optimization, Vol 42, 1997, pp 73-81.
J. Dutta, V. Vetrivel and S. Nanda, Semi-invex Functions and their subdifferentials, Bulletin of the Australian Mathematical Society, Vol 56, 1997, pp 385-393.
Co-authored, "Principles of Optimization Theory" with Professor C. R. Bector (University of Manitoba, Winnipeg, Canada) and Professor Suresh Chandra, (Indian Institute of Technology, Delhi). Published by Narosa Publishers, New Delhi, India, September 2004 and Alpha Science International, Harrow, U. K, 2005. Pages 224. (Revised and Expanded edition under preparation)
Co-authored, “Optimality Conditions in Convex Optimization : A Finite Dimensional View”, with Anulekha Dhara. , published by CRC/ Taylor and Francis on October 17th 2011.
Awards & Fellowships
Visiting Fellowship of the Spanish Ministry of Education and Culture, June 2000.
Post-Doctoral Fellowship of the National Board for Higher Mathematics (NBHM), India, December 1998.
Junior Research Fellowship, University Grants Commission, Government of India, 1993.
Graduate Aptitude Test in Engineering Scholarship, Government of India,1993.