Approximation of common fixed points for a family of finite nonexpansive mappings in banach space
文献类型：期刊论文
| 作者 | Wu, DP; Chang, SS; Yuan, GX |
| 刊名 | Nonlinear analysis-theory methods & applications
 |
| 出版日期 | 2005-11-30 |
| 卷号 | 63期号:5-7页码:987-999 |
| 关键词 | Nonexpansive mapping Iterative sequence Fixed point Uniformly smooth banach space Normalized duality mapping |
| ISSN号 | 0362-546X |
| DOI | 10.1016/j.na.2005.03.045 |
| 通讯作者 | Wu, dp(xzy@maths.uq.edu.au) |
| 英文摘要 | Some sufficient and necessary conditions for the iterative sequence converging to a common fixed points for a family of nonexpansive mappings in banach spaces are obtained. the results presented in this paper not only give an affirmative answer to halpern's open question and a partial answer to the reich's open question but also extend and improve some recent results of bauschke [j. math. anal. appl. 202 (1996) 150-159], halpern [bull. amer. math. soc. 73 (1967) 957-961], lions [c. r. acad. sci. paris, ser a 284 (1977) 1357-1359], reich [j. math. anal. appl. 75 (1980) 128-292; panamer. math. j. 4 (1994) 23-28], shioji and takahashi [proc. amer. math. soc. 125(12) (1997) 3641-3645], takahashi et al. [j. approximation theory 91 (1997) 386-397; sci. math. jap. 56(3) (2002) 417-422], wittmann [arch. math. 58 (1992) 486-491] and xu [bull. austral. math. soc. 65 (2002) 109-113; commun. appl. nonlinear anal. 10 (2003) 67-75]. as applications, at the end of the paper, we utilize our results to study the feasibility problem. (c) 2005 elsevier ltd. all rights reserved. |
| WOS关键词 | CONVEX COMBINATIONS ; CONVERGENCE |
| WOS研究方向 | Mathematics |
| WOS类目 | Mathematics, Applied ; Mathematics |
| 语种 | 英语 |
| WOS记录号 | WOS:000234152200036 |
| 出版者 | PERGAMON-ELSEVIER SCIENCE LTD |
| URI标识 | http://www.irgrid.ac.cn/handle/1471x/2377013 |
| 专题 | 中国科学院大学 |
| 通讯作者 | Wu, DP |
| 作者单位 | 1.Yibin Univ, Dept Math, Yibin 644007, Sichuan, Peoples R China 2.Sichuan Univ, Dept Math, Chengdu 610064, Sichuan, Peoples R China 3.Chinese Acad Sci, Sch Management, Grad Sch, Beijing 100080, Peoples R China 4.Nankai Univ, Ctr Combinator, Tianjin 300071, Peoples R China |
| 推荐引用方式 GB/T 7714 | Wu, DP,Chang, SS,Yuan, GX. Approximation of common fixed points for a family of finite nonexpansive mappings in banach space[J]. Nonlinear analysis-theory methods & applications,2005,63(5-7):987-999. |
| APA | Wu, DP,Chang, SS,&Yuan, GX.(2005).Approximation of common fixed points for a family of finite nonexpansive mappings in banach space.Nonlinear analysis-theory methods & applications,63(5-7),987-999. |
| MLA | Wu, DP,et al."Approximation of common fixed points for a family of finite nonexpansive mappings in banach space".Nonlinear analysis-theory methods & applications 63.5-7(2005):987-999. |
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来源：中国科学院大学
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