Optimality Conditions and Duality in Nonsmooth Multiobjective Programs
© D. S. Kim and H. J. Lee. 2010
Received: 29 October 2009
Accepted: 14 March 2010
Published: 16 March 2010
We study nonsmooth multiobjective programming problems involving locally Lipschitz functions and support functions. Two types of Karush-Kuhn-Tucker optimality conditions with support functions are introduced. Sufficient optimality conditions are presented by using generalized convexity and certain regularity conditions. We formulate Wolfe-type dual and Mond-Weir-type dual problems for our nonsmooth multiobjective problems and establish duality theorems for (weak) Pareto-optimal solutions under generalized convexity assumptions and regularity conditions.
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