Generalized (F,ρ)-Convexity and Duality in Nonsmooth Problems of
✍ Scribed by S. Nobakhtian
- Publisher
- Springer
- Year
- 2007
- Tongue
- English
- Weight
- 258 KB
- Volume
- 136
- Category
- Article
- ISSN
- 0022-3239
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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
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.