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New Optimality Conditions for a Nondifferentiable Fractional Semipreinvex Programming Problem

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  • Yi-Chou Chen
  • Wei-Shih Du

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.

Suggested Citation

  • Yi-Chou Chen & Wei-Shih Du, 2013. "New Optimality Conditions for a Nondifferentiable Fractional Semipreinvex Programming Problem," Journal of Applied Mathematics, Hindawi, vol. 2013, pages 1-5, February.
    • Handle: RePEc:hin:jnljam:527183
    DOI: 10.1155/2013/527183
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