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- Title
Optimality Conditions for Nondifferentiable Multiobjective Semi-Infinite Programming Problems.
- Authors
Barilla, D.; Caristi, G.; Puglisi, A.
- 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 (Φ,ρ)-invexity is proved, and some sufficient conditions are presented under this weak assumption. All results are given in terms of Clark subdifferential.
- Subjects
OPTIMAL control theory; NONDIFFERENTIABLE functions; MATHEMATICAL programming; MATHEMATICAL inequalities; PROBLEM solving
- Publication
Abstract & Applied Analysis, 2016, p1
- ISSN
1085-3375
- Publication type
Article
- DOI
10.1155/2016/5367190