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Optimality and duality in nonsmooth multiobjective optimization involving generalized type I functions

✍ 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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✦ 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.


πŸ“œ SIMILAR VOLUMES


Optimality and Duality in Nondifferentia
✍ S.K. Suneja; Manjari K. Srivastava πŸ“‚ Article πŸ“… 1997 πŸ› Elsevier Science 🌐 English βš– 164 KB

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. Kuhn᎐Tucker-type necessary and sufficient optimality conditions are obtained for a feasible point to be a weak minimum for this problem