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, issue 1

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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https://doi.org/10.1155/2012/370654

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Persistent link: https://EconPapers.repec.org/RePEc:wly:jnljam:v:2012:y:2012:i:1:n:370654

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