Strong Duality and Optimality Conditions for Generalized Equilibrium Problems
We consider a generalized equilibrium problem involving DC functions. By using the properties of the epigraph of the conjugate functions, some sufficient and/or necessary conditions for the weak and strong duality results and optimality conditions for generalized equilibrium problems are provided.
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| Main Authors: | , |
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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/10.1155/2013/176363 |
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| _version_ | 1849686960490151936 |
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| author | D. H. Fang J. F. Bao |
| author_facet | D. H. Fang J. F. Bao |
| author_sort | D. H. Fang |
| collection | DOAJ |
| description | We consider a generalized equilibrium problem involving DC functions. By using the properties of the epigraph of the conjugate functions, some sufficient and/or necessary conditions for the weak and strong duality results and optimality conditions for generalized equilibrium problems are provided. |
| format | Article |
| id | doaj-art-00cca54442e14791ab88cb5e6cf1d28d |
| institution | DOAJ |
| issn | 1085-3375 1687-0409 |
| language | English |
| publishDate | 2013-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Abstract and Applied Analysis |
| spelling | doaj-art-00cca54442e14791ab88cb5e6cf1d28d2025-08-20T03:22:30ZengWileyAbstract and Applied Analysis1085-33751687-04092013-01-01201310.1155/2013/176363176363Strong Duality and Optimality Conditions for Generalized Equilibrium ProblemsD. H. Fang0J. F. Bao1College of Mathematics and Statistics, Jishou University, Jishou 416000, ChinaSchool of Mathematics, Physics and Information Science, Zhejiang Ocean University, Zhoushan 316004, ChinaWe consider a generalized equilibrium problem involving DC functions. By using the properties of the epigraph of the conjugate functions, some sufficient and/or necessary conditions for the weak and strong duality results and optimality conditions for generalized equilibrium problems are provided.http://dx.doi.org/10.1155/2013/176363 |
| spellingShingle | D. H. Fang J. F. Bao Strong Duality and Optimality Conditions for Generalized Equilibrium Problems Abstract and Applied Analysis |
| title | Strong Duality and Optimality Conditions for Generalized Equilibrium Problems |
| title_full | Strong Duality and Optimality Conditions for Generalized Equilibrium Problems |
| title_fullStr | Strong Duality and Optimality Conditions for Generalized Equilibrium Problems |
| title_full_unstemmed | Strong Duality and Optimality Conditions for Generalized Equilibrium Problems |
| title_short | Strong Duality and Optimality Conditions for Generalized Equilibrium Problems |
| title_sort | strong duality and optimality conditions for generalized equilibrium problems |
| url | http://dx.doi.org/10.1155/2013/176363 |
| work_keys_str_mv | AT dhfang strongdualityandoptimalityconditionsforgeneralizedequilibriumproblems AT jfbao strongdualityandoptimalityconditionsforgeneralizedequilibriumproblems |