Approximation methods for common fixed points of mean nonexpansive mapping in Banach spaces

Fixed Point Theory and Applications

Volumn 2008, Issue , 2008, Pages

  Gu, Zhaohui ^a   Li, Yongjin ^b  

^a Guangdong Finance and Economics College ^*  (China)

^b SUN YAT SEN UNIVERSITY   (China)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 41949132196     PISSN: 16871820     EISSN: 16871812     Source Type: Journal    
DOI: 10.1155/2008/471532     Document Type: Article

References (19)

1. V. Berinde On the convergence of the Ishikawa iteration in the class of quasi contractive operators Acta Mathematica Universitatis Comenianae 73 2004 1 119-126
2. S. C. Bose Common fixed points of mappings in a uniformly convex Banach space Journal of the London Mathematical Society 18 1978 1 151-156
3. Lj. B. Ćirić J. S. Ume M. S. Khan On the convergence of the Ishikawa iterates to a common fixed point of two mappings Archivum Mathematicum 39 2003 2 123-127
4. S. Chang The fixed point theorem of mean non-expansive mapping in Banach space Acta Sichuan University Chinese 2 1975 67-78
5. S. Chang Fixed Point Theory and Applications Chongqing Press Chongqing, China 1984
6. C. E. Chidume C. Moore Fixed point iteration for pseudocontractive maps Proceedings of the American Mathematical Society 127 1999 4 1163-1170
7. L. Deng Convergence of the Ishikawa iteration process for nonexpansive mappings Journal of Mathematical Analysis and Applications 199 1996 3 769-775
8. Z. Gu Y. Li Approximating fixed points of mean nonexpansive mapping in Banach spaces International Journal of Pure and Applied Mathematics 40 2007 2 201-208
9. S. Ishikawa Fixed points by a new iteration method Proceedings of the American Mathematical Society 44 1 1974 147-150
10. S. Ishikawa Fixed points and iteration of a nonexpansive mapping in a Banach space Proceedings of the American Mathematical Society 59 1976 1 65-71
11. R. P. Jia J. Q. Wang On the convergence theorem of Ishikawa iteration with error for nonexpansive mappings in a uniformly convex Banach spaces Mathematics in Practice and Theory 34 2004 8 158-161 Chinese
12. Q. H. Liu A convergence theorem for Ishikawa iterates of continuous generalized nonexpansive maps Journal of Mathematical Analysis and Applications 165 1992 2 305-309
13. Q. H. Liu The convergence theorems of the sequence of Ishikawa iterates for hemicontractive mappings Journal of Mathematical Analysis and Applications 148 1990 1 55-62
14. Y. Li Ishikawa iterative sequence with errors for strongly pseudocontractive operators in arbitrary Banach spaces International Journal of Mathematics and Mathematical Sciences 2004 2004 33 1771-1775
15. P.-E. Maingé Approximation methods for common fixed points of nonexpansive mappings in Hilbert spaces Journal of Mathematical Analysis and Applications 325 2007 1 469-479
16. R. A. Rashwan On the convergence of Mann iterates to a common fixed point for a pair of mappings Demonstratio Mathematica 23 1990 3 709-712
17. R. A. Rashwan A. M. Saddeek On the Ishikawa iteration process in Hilbert spaces Collectanea Mathematica 45 1994 1 45-52
18. Y. Song R. Chen Iterative approximation to common fixed points of nonexpansive mapping sequences in reflexive Banach spaces Nonlinear Analysis: Theory, Methods & Applications 66 2007 3 591-603
19. H. Zhao The existence theorem of fixed point for mean non-expansive mapping in Banach space Acta Mathematica Sinica Chinese 22 1979 4 459-469