Duality in multi-objective fractional programming problem using generalized convex functions

Abstract

In this article, we study a multi-objective fractional programming problem with generalized equality and inequality constraints in terms of contingent derivative over Banach space. Under appropriate assumptions, we obtain weak and strong duality theorems for Wolfe and Mond-Weir type duals, using generalized convexity assumptions under the framework of epiderivatives. Supportive examples are also given corresponding to each duality model.