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DT Luc (1991)
Contingent derivatives of set-valued maps and applications to vector optimizationMath. Programming, 50
J. Jahn (1986)
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J. Aubin (1980)
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J. Aubin, I. Ekeland (1984)
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J-P Aubin (1981)
Mathematical analysis and applications
DT Luc (1989)
Theory of vector optimization
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.
Mathematical Methods of Operations Research – Springer Journals
Published: Feb 5, 2005
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