A Generalized Alternative Theorem of Partial and Generalized Cone Subconvexlike Set-Valued Maps and Its Applications in Linear Spaces
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...
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| Format: | Article |
| Language: | English |
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Wiley
2012-01-01
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| Series: | Journal of Applied Mathematics |
| Online Access: | http://dx.doi.org/10.1155/2012/370654 |
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| _version_ | 1832565066231185408 |
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| author | Zhi-Ang Zhou Jian-Wen Peng |
| author_facet | Zhi-Ang Zhou Jian-Wen Peng |
| author_sort | Zhi-Ang Zhou |
| collection | DOAJ |
| description | 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. |
| format | Article |
| id | doaj-art-dc9f5872365a45c48b20055df99cffa3 |
| institution | Kabale University |
| issn | 1110-757X 1687-0042 |
| language | English |
| publishDate | 2012-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Journal of Applied Mathematics |
| spelling | doaj-art-dc9f5872365a45c48b20055df99cffa32025-02-03T01:09:36ZengWileyJournal of Applied Mathematics1110-757X1687-00422012-01-01201210.1155/2012/370654370654A Generalized Alternative Theorem of Partial and Generalized Cone Subconvexlike Set-Valued Maps and Its Applications in Linear SpacesZhi-Ang Zhou0Jian-Wen Peng1College of Mathematics and Statistics, Chongqing University of Technology, Chongqing 400054, ChinaSchool of Mathematics, Chongqing Normal University, Chongqing 400047, ChinaWe 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.http://dx.doi.org/10.1155/2012/370654 |
| spellingShingle | Zhi-Ang Zhou Jian-Wen Peng A Generalized Alternative Theorem of Partial and Generalized Cone Subconvexlike Set-Valued Maps and Its Applications in Linear Spaces Journal of Applied Mathematics |
| title | A Generalized Alternative Theorem of Partial and Generalized Cone Subconvexlike Set-Valued Maps and Its Applications in Linear Spaces |
| title_full | A Generalized Alternative Theorem of Partial and Generalized Cone Subconvexlike Set-Valued Maps and Its Applications in Linear Spaces |
| title_fullStr | A Generalized Alternative Theorem of Partial and Generalized Cone Subconvexlike Set-Valued Maps and Its Applications in Linear Spaces |
| title_full_unstemmed | A Generalized Alternative Theorem of Partial and Generalized Cone Subconvexlike Set-Valued Maps and Its Applications in Linear Spaces |
| title_short | A Generalized Alternative Theorem of Partial and Generalized Cone Subconvexlike Set-Valued Maps and Its Applications in Linear Spaces |
| title_sort | generalized alternative theorem of partial and generalized cone subconvexlike set valued maps and its applications in linear spaces |
| url | http://dx.doi.org/10.1155/2012/370654 |
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