Contingent epiderivatives and set-valued optimization

Johannes Jahn and Rüdiger Rauh

Mathematical Methods of Operations Research, 1997, vol. 46, issue 2, 193-211

Abstract: In this paper we introduce the concept of the contingent epiderivative for a set-valued map which modifies a notion introduced by Aubin [2] as upper contingent derivative. It is shown that this kind of a derivative has important properties and is one possible generalization of directional derivatives in the single-valued convex case. For optimization problems with a set-valued objective function optimality conditions based on the concept of the contingent epiderivative are proved which are necessary and sufficient under suitable assumptions. Copyright Physica-Verlag 1997

Keywords: Vector optimization; convex and set-valued analysis; optimality conditions (search for similar items in EconPapers)
Date: 1997
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Citations: View citations in EconPapers (25)

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DOI: 10.1007/BF01217690

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