Strong convergence theorems for infinite families of nonexpansive mappings in general Banach spaces

Fixed Point Theory and Applications

Volumn 2005, Issue 1, 2005, Pages 103-123

  Suzuki, Tomonari ^a  

^a NONE

Author keywords

[No Author keywords available]

Indexed keywords

EID: 28244465340     PISSN: 16871820     EISSN: 16871812     Source Type: Journal    
DOI: 10.1155/FPTA.2005.103     Document Type: Article

References (21)

1. J.-B. Baillon Un théorème de type ergodique pour les contractions non linéaires dans un espace de Hilbert C. R. Acad. Sci. Paris Sér. A-B 1975 280 22 Aii, A1511-A1514 French
2. F. E. Browder Nonexpansive nonlinear operators in a Banach space Proc. Nat. Acad. Sci. U.S.A. 1965 54 1041-1044
3. F. E. Browder Convergence of approximants to fixed points of nonexpansive non-linear mappings in Banach spaces Arch. Rational Mech. Anal. 1967 24 82-90
4. R. E. Bruck Jr. A common fixed point theorem for a commuting family of nonexpansive mappings Pacific J. Math. 1974 53 59-71
5. R. DeMarr Common fixed points for commuting contraction mappings Pacific J. Math. 1963 13 1139-1141
6. M. Edelstein A remark on a theorem of M. A. Krasnoselski Amer. Math. Monthly 1966 73 509-510
7. M. Edelstein R. C. O'Brien Nonexpansive mappings, asymptotic regularity and successive approximations J. London Math. Soc. (2) 1978 17 3 547-554
8. K. Goebel W. A. Kirk Iteration processes for nonexpansive mappings American Mathematical Society Rhode Island 1983 21 115-123 Contemp. Math. Topological Methods in Nonlinear Functional Analysis (Toronto, Ont., 1982)
9. D. Göhde Zum Prinzip der kontraktiven Abbildung Math. Nachr. 1965 30 251-258 German
10. B. Halpern Fixed points of nonexpanding maps Bull. Amer. Math. Soc. 1967 73 957-961
11. S. Ishikawa Fixed points and iteration of a nonexpansive mapping in a Banach space Proc. Amer. Math. Soc. 1976 59 1 65-71
12. S. Ishikawa Common fixed points and iteration of commuting nonexpansive mappings Pacific J. Math. 1979 80 2 493-501
13. W. A. Kirk A fixed point theorem for mappings which do not increase distances Amer. Math. Monthly 1965 72 1004-1006
14. M. A. Krasnosel'skiǐ Two remarks on the method of successive approximations Uspehi Mat. Nauk (N.S.) 1955 10 1(63) 123-127 Russian
15. J. Linhart Beiträge zur Fixpunkttheorie nichtexpandierender Operatoren Monatsh. Math. 1972 76 239-249 German
16. W. R. Mann Mean value methods in iteration Proc. Amer. Math. Soc. 1953 4 506-510
17. S. Reich Weak convergence theorems for nonexpansive mappings in Banach spaces J. Math. Anal. Appl. 1979 67 2 274-276
18. T. Suzuki The set of common fixed points of a one-parameter continuous semigroup of mappings is F (T (1)) ∩ F (T √2)) submitted to Proc. Amer. Math. Soc.
19. T. Suzuki Strong convergence theorem to common fixed points of two nonexpansive mappings in general Banach spaces J. Nonlinear Convex Anal. 2002 3 3 381-391
20. T. Suzuki Convergence theorems to common fixed points for infinite families of nonexpansive mappings in strictly convex Banach spaces Nihonkai Math. J. 2003 14 1 43-54
21. R. Wittmann Approximation of fixed points of nonexpansive mappings Arch. Math. (Basel) 1992 58 5 486-491