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On Minimax Fractional Optimality and Duality with Generalized Convexity
Authors:Xin-Min Yang  Shui-Hung Hou
Institution:(1) Department of Mathematics, Chongqing Normal University, Chongqing, 400047, China;(2) Department of Applied Mathematics, Hong Kong Polytechnic University, Hong Kong, China
Abstract:In this paper, we establish several sufficient optimality conditions for a class of generalized minimax fractional programming. Based on the sufficient conditions, a new dual model is constructed and duality results are derived. Our study naturally unifies and extends some previously known results in the framework of generalized convexity and dual models. Mathematics Subject Classifications: 90C25, 90C32, 90C47.
Keywords:Duality theorems  Generalized convexity  Generalized minimax fractional programming  Sufficient optimality conditions
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