On multiobjective optimization problems involving v- r – Invexity

Abstract

This paper deals with the multiobjective optimization problems involving locally Lipschitz V -r-invex functions introduced by T. Antczak in 2009 [Antczak, T. Optimality and duality for nonsmooth multiobjective programming problems with V -r-invexity, J. Glob. Optim. 45, 319-334, 2009]. We derive necessary and sufficient optimality conditions for a feasible point to be an efficient solution or a weak efficient solution of the multiobjective optimization problem using vector variational inequalities in terms of Clarke subdifferentials.