Parametric Set-Valued Optimization Problems Under Generalized Cone Convexity

Abstract

In this paper, we establish sufficient Karush-Kuhn-Tucker (KKT) conditions for a parametric set-valued optimization problem under contingent epiderivative and generalized cone convexity assumptions. We also study duality results of Mond-Weir, Wolfe, and mixed types for weak solutions of a pair of set-valued optimization problems.