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

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

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Article ID: iaor2004768
Country: United Kingdom
Volume: 45
Issue: 10/11
Start Page Number: 1497
End Page Number: 1506
Publication Date: May 2003
Journal: Computers & Mathematics with Applications
Authors: ,
Keywords: optimization
Abstract:

A nonsmooth multiobjective optimization problem involving generalized Type I vector-valued functions is considered. Karush–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 asssumptions.

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