A generalized alternative theorem of partial and generalized cone subconvexlike set-valued maps and its applications in linear spaces (Q1760659)
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scientific article; zbMATH DE number 6106186
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | A generalized alternative theorem of partial and generalized cone subconvexlike set-valued maps and its applications in linear spaces |
scientific article; zbMATH DE number 6106186 |
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A generalized alternative theorem of partial and generalized cone subconvexlike set-valued maps and its applications in linear spaces (English)
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15 November 2012
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Summary: We first introduce a new notion of the partial and generalized cone subconvex-like set-valued map and give an equivalent characterization of the partial and generalized cone subconvex-like set-valued map in linear spaces. Secondly, a generalized alternative theorem of the partial and generalized cone subconvex-like set-valued map is presented. Finally, Kuhn-Tucker conditions of set-valued optimization problems are established in the sense of global proper efficiency.
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cone subconvex-like set-valued maps
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Kuhn-Tucker conditions of set-valued optimization problems
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