Optimality and duality for nonsmooth multiobjective fractional problems using convexificators

Abstract

This paper presents Fritz John necessary conditions for the weak efficiency of multiobjective fractional optimization problems involving equality, inequality and set constraints.With a constraint qualification of Mangasarian-Fromovitz type, Kuhn-Tucker necessary efficiency conditions are established.Under assumptions on generalized convexity, sufficient conditions for weak efficiency are also given together with the theorems of the weak duality, the strong duality, and the inverse duality of Wolfe and Mond-Weir types.