LOCAL AND GLOBAL OPTIMALITY CONDITIONS FOR DC INFINITE OPTIMIZATION PROBLEMS

Abstract

We consider the optimality conditions for the DC (difference of two convex functions) optimization problem with the objective and constraint functions given as DC functions. Adopting convexification technique, the local and global KKT type conditions for this optimization problem are defined. By using properties of the subdifferentials of the involved functions, some sufficient and/or necessary conditions for these two types of optimality conditions are provided.