Mathematical programs involving e-convex functions

Abstract

In this paper, we have shown that generalized M-stationary condition is sufficient for global optimality under the assumptions of E-convexity and mathematical programming problems with equilibrium constraints. Further, we formulate and study Wolfe type and Mond-Weir type dual models for the MPEC and we establish weak and strong duality theorems relating to the MPEC and the two dual models. © 2021, Politechnica University of Bucharest. All rights reserved.