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Second order duality for nondifferentiable minimax programming problems with generalized convexity

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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.

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Authors and Affiliations

  1. Department of Mathematics, Aligarh Muslim University, Aligarh, 202 002, India

    Z. Husain & I. Ahmad

  2. Department of Applied Mathematics, Birla Institute of Technology, Extension Centre, Patna, 800 014, India

    Anurag Jayswal

Authors
  1. Z. Husain
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  2. Anurag Jayswal
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  3. I. Ahmad
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Correspondence to Z. Husain.

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Husain, Z., Jayswal, A. & Ahmad, I. Second order duality for nondifferentiable minimax programming problems with generalized convexity. J Glob Optim 44, 593–608 (2009). https://doi.org/10.1007/s10898-008-9360-4

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  • DOI: https://doi.org/10.1007/s10898-008-9360-4

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