Open Access
2016 Optimality Conditions for Nondifferentiable Multiobjective Semi-Infinite Programming Problems
D. Barilla, G. Caristi, A. Puglisi
Abstr. Appl. Anal. 2016: 1-6 (2016). DOI: 10.1155/2016/5367190


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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D. Barilla. G. Caristi. A. Puglisi. "Optimality Conditions for Nondifferentiable Multiobjective Semi-Infinite Programming Problems." Abstr. Appl. Anal. 2016 1 - 6, 2016.


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

zbMATH: 06929372
MathSciNet: MR3548396
Digital Object Identifier: 10.1155/2016/5367190

Rights: Copyright © 2016 Hindawi

Vol.2016 • 2016
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