Approximate Optimality Conditions in Fractional Semi-Infinite Multiobjective Optimization (Study on Nonlinear Analysis and Convex Analysis)

Abstract

This paper provides some new results on weak approximate solutions in fractional multiobjective optimization problems. Specifically, we establish necessary optimality conditions of Fritz-John type for a local weakly E-efficient solution in fuzzy form and, by using limiting constraint qualification, we provide necessary optimality conditions of Karush-Kuhn-Tucker type for a weakly E-quasi-efficient solution. To this purpose advanced tools of variational analysis and generalized differentiation are used.