Convergence of the Ishikawa iteration process for nonexpansive mappings

Journal of Mathematical Analysis and Applications

Volumn 199, Issue 3, 1996, Pages 769-775

  Deng, Lei ^a  

^a SOUTHWEST UNIVERSITY   (China)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0030140674     PISSN: 0022247X     EISSN: None     Source Type: Journal    
DOI: 10.1006/jmaa.1996.0174     Document Type: Article

References (12)

1. 1. W. G. Dotson, Jr., On the Main iterative process, Trans. Amer. Math. Soc. 149 (1970), 65-73.
2. 2. G. Emmanuele, Convergence of the Mann-Ishikawa iterative process for nonexpansive mappings, Nonlinear Anal. 6 (1982), 1135-1141.
3. 3. A. A. Gillespie and B. B. Williams, Some theorems on fixed points in Lipschitz and Kannan type mappings, J. Math. Anal. Appl. 74 (1980), 382-387.
4. 4. C. W. Groetsch, A note on segmenting Mann iterates, J. Math. Anal. Appl. 40 (1972), 369-372.
5. 5. S. Ishikawa, Fixed points by a new iteration method, Proc. Amer. Math. Soc. 44 (1974), 147-150.
6. 6. S. Ishikawa, Fixed points and iterations of a nonexpansive mapping in a Banach space, Proc. Amer. Math. Soc. 59 (1976), 65-71.
7. 7. W. R. Mann, Mean value methods in iteration, Proc. Amer. Math. Soc. 4 (1953), 506-510.
8. 8. Z. Opial, Weak convergence of the sequence of successive approximations for nonexpansive mappings, Bull. Amer. Math. Soc. 73 (1967), 595-597.
9. 9. S. Reich, Weak convergence theorem for nonexpansive mappings in Banach spaces, J. Math. Anal. Appl. 67 (1979), 274-276.
10. 10. H. F. Senter and W. G. Dotson, Jr., Approximating fixed points of nonexpansive mappings, Proc. Amer. Math. Soc. 44 (1974), 375-380.
11. 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.
12. 12. P. Veeramani, On some fixed point theorems on uniformly convex Banach spaces, J. Math. Anal. Appl. 167 (1992), 160-166.