Approximate Quasi Solutions of Multiobjective Optimization Problems

Chanoksuda Khantree, Rabian Wangkeeree

Abstract

This paper deals with quasi approximate properly efficient solutions of multiobjective optimization problems involving nonsmooth functions. In this case, some necessary and sufficient conditions for these approximate solutions in the multiobjective are provided via max function. As a consequence, we obtain Fritz-John type necessary conditions for approximate properly efficient solutions of the considered problem by exploiting the corresponding results of the approximate properly efficient solutions.}