Strong convergence theorem for asymptotically nonexpansive mappings

Nonlinear Analysis, Theory, Methods and Applications

Volumn 26, Issue 2, 1996, Pages 265-272

  Shimizu, Tomoo ^a   Takahashi, Wataru ^a  

^a TOKYO INSTITUTE OF TECHNOLOGY   (Japan)

Author keywords

Asymptotically nonexpansive mapping; Fixed point; Strong convergence

Indexed keywords

EID: 0009113910     PISSN: 0362546X     EISSN: None     Source Type: Journal    
DOI: 10.1016/0362-546X(94)00278-P     Document Type: Article

References (6)

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2. ISHIHARA H. & TAKAHASHI W., A nonlinear ergodic theorem for a reversible semigroup of Lipschitzian mappings in a Hilbert space, Proc. Am. math. Soc. 104, 431-436 (1988).
3. BROWDER F. E., Convergence of approximants to fixed points of nonexpansive nonlinear mappings in Banach space, Archs ration. Mech. Analysis 24, 82-90 (1967).
4. BAILLON J. B., Un théorème de type ergodique pour les contractions non linéaires dans un espace de Hilbert, C.r. Acad. Sci. Paris 280, 1511-1514 (1975).
5. HIRANO N. & TAKAHASHI W., Nonlinear ergodic theorems for nonexpansive mappings in Hilbert spaces, Kodai math. J. 2, 11-25 (1979).
6. TAN K. K. & XU H. K., The nonlinear ergodic theorem for asymptotcially nonexpansive mappings in Banach spaces, Proc. Am. math. Soc. 114, 399-404 (1992).