Joydeep Dutta Associate Professor Office : FB - 575

Phone : 91-512-2597568 (O) Fax     : 91-512-2597500  jdutta@iitk.ac.in

• Joined as Assistant Professor in the Department of Mathematics and Statistics, Indian Institute of Technology, Kanpur since December 2002.

• Ph.D. (1998) Indian Institute of Technology Kharagpur India.

• M.Sc. (1993) Indian Institute of Technology Kharagpur India.

RESEARCH INTERESTS

• Major Area : Optimization Theory and Variational Analysis.

• Specific Interest : Convex and Nonsmooth Optimization, Vector Optimization, Bilevel Programming and Abstract Convexity.

 RESEARCH PUBLICATIONS ( Mathematical Optimization)

---

• J. Dutta, S. R. Pattanaik and Michel Thera, On note on approximate Lagrange multiplier rules to appear in Mathematical Programming , Series B. Vol 123, 2010, pp 161-171
  
  M. Durea, J. Dutta and Chr. Tammer, “Lagrange multipliers for epsilon- Pareto solutions in vector optimization with non-solid cones in Banach Spaces” to appear Journal of Optimization Theory and Applications,, 2009. (online version available)
  
  M. Durea and J. Dutta, Lagrange multipliers for Pareto minimum in general Banach spaces , Pacific Journal of Optimization, Vol 4, 2008, pp 447-463
  
  M. Durea, J. Dutta and Chr. Tammer, Bounded sets of Lagrange multipliers for vector optimization problems in infinite dimension. Journal of Mathematical Analysis and Applications, Vol 348, 2008, pp 589-606.
  
  D. Aussel and J. Dutta, Generalized Nash equilibrium problem, variational inequality and quasiconvexity, Vol 36, Operations Research Letters, 2008, pp 461-464.
  
  S. Dempe, J. Dutta and B. S. Mordukhovich, Variational analysis in bilevel programming, Mathematical Programming and Game Theory for Decision Making, Proceedings of the International Symposium on Mathematical Programming and Game Theory for Decision Making : Indian Statistical Institute, Delhi, December 10-11, 2007, World Scientific, Singapore, 2008, pp 257-277
  
  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” to appear, Journal of Global Optimization, Vol 36, 2006, pp 425-437.
  
  S. Dempe, J. Dutta and S. Lohse “Optimality conditions in bilevel programming” to appear in 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 and S. Dempe, “Bilevel programming with convex lower level problems” in S. Dempe, V. Kalashnikov (eds.): Optimization with Multivalued Mappings: Theory, Applications and Algorithms. Springer, 2006, pp 51-71.
  
  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.
  
  A.Rubinov and J. Dutta, “Abstract convexity”, Handbook of Generalized Convexity and Generalized Monotonicity, (Series : Nonconvex Optimization and Applications 76), Springer, New York, 2005, pp 293-333.
  
  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, 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 non-smooth functions” the 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,(7 & 8), 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.
  
  V. Vetrivel and J. Dutta, “Necessary optimality conditions with subdifferentials of semi-invex functions.” Proceedings of the ASME Conference on Nonsmooth /Nonconvex Modelling , Theory and Applications, Chapter 20, pp 427 - 436, Kluwer Academic Publishers 2000.
  
  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.
   

  
  
  BOOK

  ---

  
  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.
   

       RESEARCH PUBLICATIONS (Optimization Heuristics)

K. Deb, R. Tewari, M. Dixit and J. Dutta, Finding trade-off solutions Close to KKT points using evolutionary multi-objective optimization, Proceedings of the Congress on Evolutionary Computation (CEC-2007), (Singapore), (pp. 2109--2116).


 

More details                         Institute's webpage                         Home