On Mixed Type Duality for Nondifferentiable Multiobjective Variational Problems

[1] C.R. Bector and I. Husain, Duality for Multiobjective variational problems, Journal of
Math. Anal. And Appl. 166(1)(1992), 214–224.
[2] C.R. Bector, S. Chandra and I. Husain, Generalized concavity and nondifferentiable continuous
programming duality, Research Report # 85-7, Faculty of administrative studies,
The University of Manitoba, Winnipeg, Canada R3T 2N2, (1985).
[3] S. Chandra, B.D. Craven and I. Husain, A class of nondifferentiable continuous programming
problem, J. Math. Anal. Appl. 107(1985), 122—131.
[4] F.H. Clarke, Optimization and Non-smooth Analysis, Wiley, New York, (1983).
[5] V. Chankong and Y.Y. Haimes, Multiobjective Decision Making: Theory and Methodology,
North-Holland, New York, (1983).
[6] V.F. Demyanov and L.C.W. Dixon, Quasidifferential calculus, Mathematical Programming
Study 29, North Holland, Amsterdam (1989).
[7] I. Husain and Z. Jabeen, Mixed type duality for a programming problem containing
support function, Journal of Applied Mathematica and Computing 15 (1-2) (2004), 211–
225.
[8] I. Husain and Z. Jabeen, On variational problems involving higher order derivatives, J.
Math. and Computing 27(1-2)(2005), 433–455.
[9] I. Husain, A. Ahmed and Rumana G. Mattoo, Optimality and duality for nondifferentiable
multiobjective variational problems involving higher order derivatives, European
Journal of Pure and Applied Mathematics 2(3)(2009), 372–400.
[10] I. Husain, A. Ahmed and Rumana G. Mattoo, Optimality criteria and duality in multiobjective
variational problems involving higher order derivatives, Journal of Applied
Mathematics and Informatics 27 (1-2) (2009), 123–137.
[11] D.S. Kim and A.L. Kim, Optimality and duality for nondifferentiable multiobjective variational
problems, J. Math. Anal. Appl. 274(2002), 255–278.
[12] J.C. Liu, Duality for nondifferentiable static multiobjective variational problems involving
generalized (F,)-convex functions, Comput. Math. Appl. 31 (12)(1996), 77–89.
[13] S.K. Mishra and R.N. Mukerjee, On efficiency and duality for multiobjective variational
problems, J. Math. Anal. Appl. 187 (1994), 40–45.
[14] O.L. Mangasarian, Nonlinear Programming, Mcgraw Hill, New York, (1969).
[15] B. Mond and M.A. Hanson, Duality for variational problems, J. Math. Anal. Appl. 18
(1967), 355–364.
[16] B. Mond, I. Husain and M.V. Durga Prasad, Duality for a class of nondifferentiable multipleobjective
programming problems, Journal of Information and Optimization Sciences,
9(1988), 331–341.
[17] F. Riesz and B. Sz-Nagy, Functional Analysis, Ungar, New York, (1995).
[18] Z.Xu, Mixed type duality in multiobjective programming problems, Journal of Mathematical
Analysis and Applications 198(1996), 621–635.