Unconstrained optimization reformulations of equilibrium problems
文献类型：期刊论文
| 作者 | Zhang, Li Ping1; Han, Ji Ye2 |
| 刊名 | ACTA MATHEMATICA SINICA-ENGLISH SERIES
 |
| 出版日期 | 2009-03-01 |
| 卷号 | 25期号:3页码:343-354 |
| 关键词 | equilibrium problems D-gap function error bound unconstrained optimization |
| ISSN号 | 1439-8516 |
| DOI | 10.1007/s10114-008-7096-1 |
| 英文摘要 | We generalize the D-gap function developed in the literature for variational inequalities to a general equilibrium problem (EP). Through the D-gap function, the equilibrium problem is cast as an unconstrained minimization problem. We give conditions under which any stationary point of the D-gap function is a solution of EP and conditions under which it provides a global error bound for EP. Finally, these results are applied to box-constrained EP and then weaker conditions are established to obtain the desired results for box-constrained EP. |
| 资助项目 | National Natural Science Foundation of China[10871113] ; National Natural Science Foundation of China[10671013] |
| WOS研究方向 | Mathematics |
| 语种 | 英语 |
| WOS记录号 | WOS:000264809300001 |
| 出版者 | SPRINGER HEIDELBERG |
| 源URL | [http://ir.amss.ac.cn/handle/2S8OKBNM/7367]  |
| 专题 | 中国科学院数学与系统科学研究院 |
| 通讯作者 | Zhang, Li Ping |
| 作者单位 | 1.Tsinghua Univ, Dept Math Sci, Beijing 100084, Peoples R China 2.Chinese Acad Sci, Inst Appl Math, Acad Math & Syst Sci, Beijing 100190, Peoples R China |
| 推荐引用方式 GB/T 7714 | Zhang, Li Ping,Han, Ji Ye. Unconstrained optimization reformulations of equilibrium problems[J]. ACTA MATHEMATICA SINICA-ENGLISH SERIES,2009,25(3):343-354. |
| APA | Zhang, Li Ping,&Han, Ji Ye.(2009).Unconstrained optimization reformulations of equilibrium problems.ACTA MATHEMATICA SINICA-ENGLISH SERIES,25(3),343-354. |
| MLA | Zhang, Li Ping,et al."Unconstrained optimization reformulations of equilibrium problems".ACTA MATHEMATICA SINICA-ENGLISH SERIES 25.3(2009):343-354. |
入库方式： OAI收割
来源：数学与系统科学研究院
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