Optimality conditions for set-valued optimization problems

Guang Ya Chen and Johannes Jahn

Mathematical Methods of Operations Research, 1998, vol. 48, issue 2, 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. Copyright Springer-Verlag Berlin Heidelberg 1998

Keywords: Key words: Set-valued optimization; generalized contingent epiderivative; optimality conditions; subgradient (search for similar items in EconPapers)
Date: 1998
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Citations: View citations in EconPapers (20)

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Persistent link: https://EconPapers.repec.org/RePEc:spr:mathme:v:48:y:1998:i:2:p:187-200

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DOI: 10.1007/s001860050021

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