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Optimality Conditions for Nondifferentiable Multiobjective Semi-Infinite Programming Problems

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  • D. Barilla
  • G. Caristi
  • A. Puglisi

Abstract

We have considered a multiobjective semi-infinite programming problem with a feasible set defined by inequality constraints. First we studied a Fritz-John type necessary condition. Then, we introduced two constraint qualifications and derive the weak and strong Karush-Kuhn-Tucker (KKT in brief) types necessary conditions for an efficient solution of the considered problem. Finally an extension of a Caristi-Ferrara-Stefanescu result for the ( )-invexity is proved, and some sufficient conditions are presented under this weak assumption. All results are given in terms of Clark subdifferential.

Suggested Citation

  • D. Barilla & G. Caristi & A. Puglisi, 2016. "Optimality Conditions for Nondifferentiable Multiobjective Semi-Infinite Programming Problems," Abstract and Applied Analysis, Hindawi, vol. 2016, pages 1-6, September.
    • Handle: RePEc:hin:jnlaaa:5367190
    DOI: 10.1155/2016/5367190
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