%0 Journal Article
%T Optimality Conditions in Nondifferentiable G-Invex Multiobjective Programming
%A Kim HoJung
%A Seo YouYoung
%A Kim DoSang
%J Journal of Inequalities and Applications
%D 2010
%I Springer
%X We consider a class of nondifferentiable multiobjective programs with inequality and equality constraints in which each component of the objective function contains a term involving the support function of a compact convex set. We introduce G-Karush-Kuhn-Tucker conditions and G-Fritz John conditions for our nondifferentiable multiobjective programs. By using suitable G-invex functions, we establish G-Karush-Kuhn-Tucker necessary and sufficient optimality conditions, and G-Fritz John necessary and sufficient optimality conditions of our nondifferentiable multiobjective programs. Our optimality conditions generalize and improve the results in Antczak (2009) to the nondifferentiable case.
%U http://www.journalofinequalitiesandapplications.com/content/2010/172059