Optimality Conditions via Scalarization for Approximate Quasi Efficiency in Multiobjective Optimization

Abstract

In this paper, approximate quasi (weakly, properly) efficient solutions of multiobjective optimization problems (MOPs) are analyzed. We are interested in finding the relationships between approximate quasi (weakly, properly) efficient solutions of an MOP and approximate quasi optimal solutions of the related scalarized problem. In fact, via scalarization techniques, we derive some necessary and sufficient conditions for approximate-quasi (weakly, properly) efficient solutions of an MOP. All the results are obtained with no convexity assumption.