On second-order duality for nondifferentiable minimax fractional programming

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摘要

Two types of second-order dual models for a nondifferentiable minimax fractional programming problem are formulated and proved weak, strong, strict converse duality theorems using η-bonvexity assumptions. Special cases are also discussed to show that this work extends some known results of the literature.

论文关键词:49J35,90C32,49N15,Minimax fractional programming,Nondifferentiable programming,Second-order duality,η-bonvexity

论文评审过程:Received 20 November 2011, Revised 9 October 2012, Available online 13 July 2013.

论文官网地址:https://doi.org/10.1016/j.cam.2013.06.044