Abstract and Applied Analysis

Optimality Conditions for Nondifferentiable Multiobjective Semi-Infinite Programming Problems

D. Barilla, G. Caristi, and A. Puglisi

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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 (Φ,ρ)-invexity is proved, and some sufficient conditions are presented under this weak assumption. All results are given in terms of Clark subdifferential.

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Abstr. Appl. Anal., Volume 2016 (2016), Article ID 5367190, 6 pages.

Received: 2 May 2016
Accepted: 18 August 2016
First available in Project Euclid: 3 October 2016

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Barilla, D.; Caristi, G.; Puglisi, A. Optimality Conditions for Nondifferentiable Multiobjective Semi-Infinite Programming Problems. Abstr. Appl. Anal. 2016 (2016), Article ID 5367190, 6 pages. doi:10.1155/2016/5367190. https://projecteuclid.org/euclid.aaa/1475499301

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