Sufficiency and Duality in Multiobjective Programming Involving Generalized (F, ρ)-Convexity
✍ Scribed by Brahim Aghezzaf; Mohamed Hachimi
- Publisher
- Elsevier Science
- Year
- 2001
- Tongue
- English
- Weight
- 96 KB
- Volume
- 258
- Category
- Article
- ISSN
- 0022-247X
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✦ Synopsis
New classes of generalized F, -convexity are introduced for vector-valued Ž . functions. Examples are given to show their relations with F, -pseudoconvex, Ž . Ž . F, -quasiconvex, and strictly F, -pseudoconvex vector-valued functions. The sufficient optimality conditions and duality results are obtained for multiobjective Ž . programming involving generalized F, -convex vector-valued functions. ᮊ 2001
📜 SIMILAR VOLUMES
The concept of efficiency pareto optimum is used to formulate duality for multiobjective variational control problems. Wolfe and Mond᎐Weir type duals are Ž . formulated. Under the generalized F y -convexity on the functions involved, weak and strong duality theorems are proved.
In this paper, we establish some sufficient conditions under which a feasible solution of such a problem will be Pareto optimal provided that a weaker convexity requirement is satisfied; for Ž . instance ᑣ, , -convexity is assumed for both objective and constraint set functions. Some duality models