Optimality Conditions for Set-Valued Optimization Problems

Jahn J, Chen G (1998)


Publication Type: Journal article, Original article

Publication year: 1998

Journal

Publisher: Springer Verlag (Germany)

Book Volume: 48

Pages Range: 187-200

Abstract

The generalized contingent epiderivative of set-valued maps is introduced in this paper and its relationship to the contingent epiderivative is investigated. A unified necessary and sufficient optimality condition is derived in terms of the generalized contingent epiderivative. The existence of weak subgradients of set-valued maps is proved, and a sufficient optimality condition of set-valued optimization problems is obtained in terms of weak subgradients.

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How to cite

APA:

Jahn, J., & Chen, G. (1998). Optimality Conditions for Set-Valued Optimization Problems. Mathematical Methods of Operations Research, 48, 187-200.

MLA:

Jahn, Johannes, and G.Y. Chen. "Optimality Conditions for Set-Valued Optimization Problems." Mathematical Methods of Operations Research 48 (1998): 187-200.

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