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Optimality conditions for nondifferentiable minimax fractional programming with complex variables
Authors:Hang-Chin Lai  Tone-Yau Huang
Affiliation:Department of Applied Mathematics, Chung-Yuan Christian University, Chung-Li, 32023, Taiwan
Abstract:We show that a minimax fractional programming problem is equivalent to a minimax nonfractional parametric problem for a given parameter in complex space. We establish the necessary and sufficient optimality conditions of nondifferentiable minimax fractional programming problem with complex variables under generalized convexities.
Keywords:Nondifferentiable complex minimax programming   Analytic function   Fractional programming   Generalized convexity for complex variables   Optimality
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