Second order duality for nondifferentiable minimax programming problems with generalized convexity

Authors:
Z. Husain;Anurag Jayswal;I. Ahmad
Affiliations:
Department of Mathematics, Aligarh Muslim University, Aligarh, India 202 002;Department of Applied Mathematics, Birla Institute of Technology, Extension Centre, Patna, India 800 014;Department of Mathematics, Aligarh Muslim University, Aligarh, India 202 002
Venue:
Journal of Global Optimization
Year:
2009

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Abstract

In this paper, we are concerned with a class of nondifferentiable minimax programming problem and its two types of second order dual models. Weak, strong and strict converse duality theorems from a view point of generalized convexity are established. Our study naturally unifies and extends some previously known results on minimax programming.