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New Optimality Conditions for a Nondifferentiable Fractional Semipreinvex Programming Problem

Yi-Chou Chen and Wei-Shih Du

Journal of Applied Mathematics, 2013, vol. 2013, 1-5

Abstract:

We study a nondifferentiable fractional programming problem as follows: subject to , where is a semiconnected subset in a locally convex topological vector space , , and , . If , , and , , are arc-directionally differentiable, semipreinvex maps with respect to a continuous map satisfying and , then the necessary and sufficient conditions for optimality of are established.

Date: 2013
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jnljam:527183

DOI: 10.1155/2013/527183

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