Type: Article

Necessary and sufficient conditions for nonsmooth mathematical programs with equilibrium constraints

Journal: Nonlinear Analysis, Theory, Methods and Applications (0362546X)Year: 1 March 2010Volume: 72Issue: Pages: 2694 - 2705

Movahedian Attar N.^aNobakhtian S.^a

a :University of Isfahan - IRAN(IR) - Isfahan

DOI:10.1016/j.na.2009.11.015Language: English

Abstract

In this paper we consider a mathematical program with equilibrium constraints (MPEC) formulated as a mathematical program with complementarity constraints. Then, we derive a necessary optimality result for nonsmooth MPEC on any Asplund space. Also, under generalized convexity assumptions, we establish sufficient optimality conditions for this program in Banach spaces. © 2009 Elsevier Ltd. All rights reserved.