On duality theorems for a nondifferentiable minimax fractional programming

Authors:
H. C. Lai;J. C. Lee
Affiliations:
Department of Mathematics, Chung Yuan Christian University, Chung Li 320, Taiwan;Department of Mathematics, Chung Yuan Christian University, Chung Li 320, Taiwan
Venue:
Journal of Computational and Applied Mathematics - Special issue: Papers presented at the 1st Sino--Japan optimization meeting, 26-28 October 2000, Hong Kong, China
Year:
2002

Citing 1
Cited 9

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Non-differentiable minimax fractional programming with generalized α-univexity

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Second-order duality in nondifferentiable minmax programming involving type-I functions

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On necessary conditions for a class of nondifferentiable minimax fractional programming

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On second-order duality for nondifferentiable minimax fractional programming

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Abstract

The optimality conditions of [Lai et al. (J. Math. Anal. Appl. 230 (1999) 311)] can be used to construct two kinds of parameter-free dual models of nondifferentiable minimax fractional programming problems which involve pseudo-/quasi-convex functions. In this paper, the weak duality, strong duality, and strict converse duality theorems are established for the two dual models.