Optimality and Duality Theorems in Nonsmooth Multiobjective Optimization

Abstract

Abstract In this paper, we consider a class of nonsmooth multiobjective programming problems. Necessary and sufficient optimality conditions are obtained under higher order strongly convexity for Lipschitz functions. We formulate Mond-Weir type dual problem and establish weak and strong duality theorems for a strict minimizer of order m.

Keywords

• Nonsmooth multiobjective programming
• strict minimizers
• optimality conditions
• duality