Optimality Conditions for Nonsmooth Generalized Semi-Infinite Programs
We consider a class of nonsmooth generalized semi-infinite programming problems. We apply results from parametric optimization to the lower level problems of generalized semi-infinite programming problems to get estimates for the value functions of the lower level problems and thus derive necessary...
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| Format: | Article |
| Language: | English |
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Wiley
2013-01-01
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| Series: | Abstract and Applied Analysis |
| Online Access: | http://dx.doi.org/10.1155/2013/131938 |
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| _version_ | 1832564884961755136 |
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| author | Zhangyou Chen Zhe Chen |
| author_facet | Zhangyou Chen Zhe Chen |
| author_sort | Zhangyou Chen |
| collection | DOAJ |
| description | We consider a class of nonsmooth generalized semi-infinite programming problems. We apply results from parametric optimization to the lower level problems of generalized semi-infinite programming
problems to get estimates for the value functions of the lower level problems and thus derive necessary optimality conditions for generalized semi-infinite programming problems. We also derive some new estimates for the value functions of the lower level problems in terms of generalized differentiation and further obtain the necessary optimality conditions. |
| format | Article |
| id | doaj-art-53ee4b7d58c0458ba34a315075f8f312 |
| institution | Kabale University |
| issn | 1085-3375 1687-0409 |
| language | English |
| publishDate | 2013-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Abstract and Applied Analysis |
| spelling | doaj-art-53ee4b7d58c0458ba34a315075f8f3122025-02-03T01:10:01ZengWileyAbstract and Applied Analysis1085-33751687-04092013-01-01201310.1155/2013/131938131938Optimality Conditions for Nonsmooth Generalized Semi-Infinite ProgramsZhangyou Chen0Zhe Chen1Department of Applied Mathematics, The Hong Kong Polytechnic University, Hung Hom, Kowloon, Hong KongBusiness School, Sichuan University, Chengdu 610064, ChinaWe consider a class of nonsmooth generalized semi-infinite programming problems. We apply results from parametric optimization to the lower level problems of generalized semi-infinite programming problems to get estimates for the value functions of the lower level problems and thus derive necessary optimality conditions for generalized semi-infinite programming problems. We also derive some new estimates for the value functions of the lower level problems in terms of generalized differentiation and further obtain the necessary optimality conditions.http://dx.doi.org/10.1155/2013/131938 |
| spellingShingle | Zhangyou Chen Zhe Chen Optimality Conditions for Nonsmooth Generalized Semi-Infinite Programs Abstract and Applied Analysis |
| title | Optimality Conditions for Nonsmooth Generalized Semi-Infinite Programs |
| title_full | Optimality Conditions for Nonsmooth Generalized Semi-Infinite Programs |
| title_fullStr | Optimality Conditions for Nonsmooth Generalized Semi-Infinite Programs |
| title_full_unstemmed | Optimality Conditions for Nonsmooth Generalized Semi-Infinite Programs |
| title_short | Optimality Conditions for Nonsmooth Generalized Semi-Infinite Programs |
| title_sort | optimality conditions for nonsmooth generalized semi infinite programs |
| url | http://dx.doi.org/10.1155/2013/131938 |
| work_keys_str_mv | AT zhangyouchen optimalityconditionsfornonsmoothgeneralizedsemiinfiniteprograms AT zhechen optimalityconditionsfornonsmoothgeneralizedsemiinfiniteprograms |