| Title:
|
On common fixed points of asymptotically nonexpansive mappings in the intermediate sense (English) |
| Author:
|
Huang, Jui-Chi |
| Language:
|
English |
| Journal:
|
Czechoslovak Mathematical Journal |
| ISSN:
|
0011-4642 (print) |
| ISSN:
|
1572-9141 (online) |
| Volume:
|
54 |
| Issue:
|
4 |
| Year:
|
2004 |
| Pages:
|
1055-1063 |
| Summary lang:
|
English |
| . |
| Category:
|
math |
| . |
| Summary:
|
Some strong convergence theorems of common fixed points of asymptotically nonexpansive mappings in the intermediate sense are obtained. The results presented in this paper improve and extend the corresponding results in Huang, Khan and Takahashi, Chang, Schu, and Rhoades. (English) |
| Keyword:
|
common fixed point |
| Keyword:
|
iteration |
| Keyword:
|
asymptotically nonexpansive mapping in the intermediate sense |
| Keyword:
|
uniformly convex Banach space |
| MSC:
|
47H09 |
| MSC:
|
47H10 |
| MSC:
|
47J25 |
| idZBL:
|
Zbl 1080.47506 |
| idMR:
|
MR2100013 |
| . |
| Date available:
|
2009-09-24T11:20:00Z |
| Last updated:
|
2020-07-03 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/127950 |
| . |
| Reference:
|
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| Reference:
|
[2] S. S. Chang: On the approximation problem of fixed point for asymptotically nonexpansive mappings.Indian J. Pure Appl. Math. 32 (2001), 1297–1307. MR 1875448 |
| Reference:
|
[3] K. Goebel and W. A. Kirk: A fixed point theorem for asymptotically nonexpansive mappings.Proc. Amer. Math. Soc. 35 (1972), 171–174. MR 0298500, 10.1090/S0002-9939-1972-0298500-3 |
| Reference:
|
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| Reference:
|
[5] W. A. Kirk: Fixed point theorems for non-Lipschitzian mappings of asymptotically nonexpansive type.Israel J. Math. 17 (1974), 339–346. Zbl 0286.47034, MR 0346605, 10.1007/BF02757136 |
| Reference:
|
[6] S. H. Khan and W. Takahashi: Approximating common fixed points of two asymptotically nonexpansive mappings.Math. Japon. 53 (2001), 143–148. MR 1821609 |
| Reference:
|
[7] M. O. Osilike and S. C. Aniagbosor: Weak and strong convergence theorems for fixed points of asymptotically nonexpansive mappings.Math. Comput. Modelling 32 (2000), 1181–1191. MR 1791754, 10.1016/S0895-7177(00)00199-0 |
| Reference:
|
[8] L. Qihou: Convergence theorems of the sequence of iterates for asymptotically demicontractive and hemicontractive mappings.Nonlinear Anal. 26 (1996), 1835–1842. Zbl 0861.47047, MR 1382548, 10.1016/0362-546X(94)00351-H |
| Reference:
|
[9] B. E. Rhoades: Fixed point iteration for certain nonlinear mappings.J. Math. Anal. Appl. 183 (1994), 118–120. MR 1273436, 10.1006/jmaa.1994.1135 |
| Reference:
|
[10] J. Schu: Weak and strong convergence to fixed points of asymptotically nonexpansive mappings.Bull. Austral. Math. Soc. 43 (1991), 153–159. Zbl 0709.47051, MR 1086729, 10.1017/S0004972700028884 |
| Reference:
|
[11] K. K. Tan and H. K. Xu: Approximating fixed points of nonexpansive mappings by the Ishikawa iteration process.J. Math. Anal. Appl. 178 (1993), 301–308. MR 1238879, 10.1006/jmaa.1993.1309 |
| Reference:
|
[12] Y. Xu: Ishikawa and Mann iterative processes with errors for nonlinear strongly accretive operator equations.J. Math. Anal. Appl. 224 (1998), 91–101. MR 1632966, 10.1006/jmaa.1998.5987 |
| . |
