Boundedness of the strong KKT multipliers for proper and isolated efficiencies in nonsmooth multiobjective optimization

Abstract

In this paper, using the idea of upper semi-regular convexificators, we propose constraint qualification and study existence and boundedness of the strong Karush-Kuhn-Tucker multipliers for proper and isolated efficiencies in nonsmooth multiobjective optimization problems with inequality, equality constraints and an arbitrary set constraint. Moreover, sufficient optimality conditions are studied for a (local) properly efficient solution. © 2016, Editura Academiei Romane. All rights reserved.