Jahn J, Rauh R (1997)
Publication Type: Journal article, Original article
Publication year: 1997
Publisher: Springer Verlag (Germany)
Book Volume: 46
Pages Range: 193-211
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.
APA:
Jahn, J., & Rauh, R. (1997). Contingent Epiderivatives and Set-Valued Optimization. Mathematical Methods of Operations Research, 46, 193-211.
MLA:
Jahn, Johannes, and R. Rauh. "Contingent Epiderivatives and Set-Valued Optimization." Mathematical Methods of Operations Research 46 (1997): 193-211.
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