Strong convergence to common fixed points of families of nonexpansive mappings

Journal of Mathematical Analysis and Applications

Volumn 211, Issue 1, 1997, Pages 71-83

  Shimizu, Tomoo ^a   Takahashi, Wataru ^a  

^a TOKYO INSTITUTE OF TECHNOLOGY   (Japan)

Author keywords

[No Author keywords available]

Indexed keywords

CONVERGENCE OF NUMERICAL METHODS; ITERATIVE METHODS; NUMBER THEORY;

HILBERT SPACES; NONEXPANSIVE MAPPINGS;

MATHEMATICAL TECHNIQUES;

EID: 0031172967     PISSN: 0022247X     EISSN: None     Source Type: Journal    
DOI: 10.1006/jmaa.1997.5398     Document Type: Article

References (9)

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2. 2. J. B. Baillon and H. Brézis, Une remarque sur le comportement asymptotique des semigroupes non linéaires, Houston J. Math. 2 (1976), 5-7.
3. 3. H. Brézis and F. E. Browder, Nonlinear ergodic theorems, Bull. Amer. Math. Soc. 82 (1976), 959-961.
4. 4. B. Halpern, Fixed points of nonexpanding maps, Bull. Amer. Math. Soc. 73 (1967), 957-961.
5. 5. U. Krengel, "Ergodic Theorems," de Gruyter, Berlin/New York, 1985.
6. 6. Z. Opial, Weak convergence of the sequence of successive approximations for nonexpansive mappings, Bull. Amer. Math. Soc. 73 (1967), 591-597.
7. 7. S. Reich, Some problems and results in fixed point theory, Contemp. Math. 21 (1983), 179-187.
8. 8. W. Takahashi, "Nonlinear Functional Analysis," Kindaikagakusha, Tokyo, 1988. [In Japanese]
9. 9. R. Wittmann, Approximation of fixed points of nonexpansive mappings, Arch. Math. 58 (1992), 486-491.