Optimality Conditions for Nondifferentiable Multiobjective Semi-Infinite Programming Problems

D. Barilla, G. Caristi and A. Puglisi

Abstract and Applied Analysis, 2016, vol. 2016, 1-6

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.

Date: 2016
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jnlaaa:5367190

DOI: 10.1155/2016/5367190

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