Duality on a nondifferentiable minimax fractional programming

Authors:
Hang-Chin Lai;Hui-Mei Chen
Affiliations:
Chung Yuan Christian University, Chung-Li, Taiwan and Tsing Hua University, Hsinchu, Taiwan;Chung Yuan Christian University, Chung-Li, Taiwan
Venue:
Journal of Global Optimization
Year:
2012

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Abstract

We establish the necessary and sufficient optimality conditions on a nondifferentiable minimax fractional programming problem. Subsequently, applying the optimality conditions, we constitute two dual models: Mond-Weir type and Wolfe type. On these duality types, we prove three duality theorems--weak duality theorem, strong duality theorem, and strict converse duality theorem.