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On Efficiency and Duality for Multiobjective Variational Control Problems with (F − ρ)-Convexity

✍ Scribed by C. Nahak; S. Nanda

Publisher
Elsevier Science
Year
1997
Tongue
English
Weight
222 KB
Volume
209
Category
Article
ISSN
0022-247X

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✦ Synopsis

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.

📜 SIMILAR VOLUMES

Sufficiency and Duality in Multiobjectiv
Sufficiency and Duality in Multiobjective Programming Involving Generalized (F, ρ)-Convexity
✍ Brahim Aghezzaf; Mohamed Hachimi 📂 Article 📅 2001 🏛 Elsevier Science 🌐 English ⚖ 96 KB

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 obta