Optimality conditions and duality for a minimax fractional programming with generalized convexity |
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| Authors: | Zhi-an Liang Zhen-wei Shi |
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| Institution: | a Department of Applied Mathematics, Shanghai University of Finance & Economics, Guoding Road 777, Shanghai 200433, PR China
b Department of Applied Mathematics, Dalian University of Technology, Dalian 116023, PR China |
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| Abstract: | We establish the sufficient conditions for generalized fractional programming from a viewpoint of the generalized convexity. When the sufficient conditions are utilized, the corresponding duality theorems are derived for two types of duals of the generalized fractional programming. We extend the corresponding results of several authors. |
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| Keywords: | Minimax fractional programming problem (F α ρ d)-convex Sufficient conditions Duality |
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