Article ID Journal Published Year Pages File Type
842859 Nonlinear Analysis: Theory, Methods & Applications 2009 11 Pages PDF
Abstract

In this paper we study set-valued optimization problems with set-optimization criteria. With this aim we introduce two classes of pseudoconvex maps whose elements are epidifferentiable or hypodifferentiable. We establish optimality conditions in terms of the epiderivatives and hypoderivatives of associated maps of infima or suprema under pseudoconvexity conditions. Finally, by connecting set-optimization criteria with vector criterion, we apply these results in order to solve a vector optimization problem with constraints given by a set-valued map.

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