Journal of Applied Mathematics and Decision Sciences 
Volume 2006 (2006), Article ID 29023, 16 pages
doi:10.1155/JAMDS/2006/29023

Reverse convex problems: an approach based on optimality conditions

Ider Tseveendorj

 PRiSM Laboratory, Computer Science Department, University of Versailles Saint Quentin en Yvelines, 45 avenue des Etats-Unis, Versailles Cedex 78035, France
Received 9 February 2006; Accepted 10 February 2006

Abstract

We present some results concerning reverse convex problems. Global optimality conditions for the problems with a nonsmooth reverse convex constraint are established and convergence of an algorithm in the case of linear program with an additional quadratic reverse convex constraint is studied.