Optimality and duality in nonsmooth multiobjective optimization involving generalized type I functions
β Scribed by H Kuk; T Tanino
- Publisher
- Elsevier Science
- Year
- 2003
- Tongue
- English
- Weight
- 667 KB
- Volume
- 45
- Category
- Article
- ISSN
- 0898-1221
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β¦ Synopsis
nonsmooth multiobjective optimization problem involving generalized Type I vectorvalued functions is considered. Ksrush-Kuhn-Tucker type necessary and sufficient optimality conditions are obtained for a feasible point to be an efficient or properly efficient solution. Duality theorems are proved for Wolfe type and Mond-Weir type duals under the generalized Type I sssumptions.
π SIMILAR VOLUMES
Using a parametric approach, we establish necessary and sufficient conditions and derive duality theorems for a class of nonsmooth generalized minimax fractional programming problems containing pseudoinvex functions.
In this paper new classes of functions, namely d-type-I, d-quasitype-I, and d-pseudo type-I, are defined for a multiobjective nondifferentiable programming problem. KuhnαTucker-type necessary and sufficient optimality conditions are obtained for a feasible point to be a weak minimum for this problem