Generalized properly efficient solutions of vector optimization problems

D. E. Ward and G. M. Lee

Mathematical Methods of Operations Research, 2001, vol. 53, issue 2, 215-232

Abstract: Generalized properly efficient solutions of a vector optimization problem (VP) are defined in terms of various tangent cones and a generalized directional derivative. We study their basic properties and relationships and show that under certain conditions, a generalized properly efficient solution of (VP), defined by the adjacent cone, is a generalized Kuhn-Tucker properly efficient solution of (VP). Furthermore, using subgradients defined by closed convex tangent cones, we give a necessary optimality condition for a generalized properly efficient solution of (VP) defined by the adjacent cone. Copyright Springer-Verlag Berlin Heidelberg 2001

Keywords: Key words: vector optimization problem; proper efficiency; tangent cone; subgradient; necessary optimality conditions (search for similar items in EconPapers)
Date: 2001
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Citations: View citations in EconPapers (2)

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DOI: 10.1007/s001860100112

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