%0 Journal Article
%T An Optimality Conditione for Locally Lipschitz semi-infinite Problems
%A N. Kanzi
%A K. Karimi
%J Mathematical Sciences Quarterly Journal
%D 2010
%I Springer
%X This paper is devoted to the study of locally Lipschitz semi-infinite programming problems in which the index set of the inequality constraints is assumed to be arbitrary. We introduce an analogous of the Arrow-Hurwitcz-Uzawa constraint qualification which is based on the Clarke subdifferential. Then, we derive a Karush-Kuhn-Tucker type necessary condition . Finally, interrelations between the new and the Slater constraint qualifications are investigated.
%K Optimality conditions
%K Semi-infinite problem
%K Nonsmooth analysis
%K Constraint qualification.
%U http://mathscience.kiau.ac.ir/Content/Vol4No4/5.pdf