A Generalized Alternative Theorem of Partial and Generalized Cone Subconvexlike Set-Valued Maps and Its Applications in Linear Spaces

Zhi-Ang Zhou and Jian-Wen Peng

Journal of Applied Mathematics, 2012, vol. 2012, 1-9

Abstract:

We first introduce a new notion of the partial and generalized cone subconvexlike set-valued map and give an equivalent characterization of the partial and generalized cone subconvexlike set-valued map in linear spaces. Secondly, a generalized alternative theorem of the partial and generalized cone subconvexlike set-valued map was presented. Finally, Kuhn-Tucker conditions of set-valued optimization problems were established in the sense of globally proper efficiency.

Date: 2012
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jnljam:370654

DOI: 10.1155/2012/370654

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