Some results for asymptotically pseudo-contractive mappings and asymptotically nonexpansive mappings
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Abstract:
Some convergence theorems of modified Ishikawa and Mann iterative sequences with errors for asymptotically pseudo-contractive and asymptotically nonexpansive mappings in Banach space are obtained. The results presented in this paper improve and extend the corresponding results in Goebel and Kirk (1972), Kirk (1965), Liu (1996), Schu (1991) and Chang et al. (to appear).References
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Additional Information
- S. S. Chang
- Affiliation: Department of Mathematics, Sichuan University, Chengdu, Sichuan 610064, People’s Republic of China
- Email: sszhang@mail.sc.cninfo.net
- Received by editor(s): May 25, 1999
- Published electronically: November 8, 2000
- Additional Notes: This paper was completed while the author visited Korea and was supported by the Korean Science and Engineering Foundation and National Natural Science Foundation of China.
- Communicated by: Jonathan M. Borwein
- © Copyright 2000 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 129 (2001), 845-853
- MSC (1991): Primary 47H05, 47H10, 47H15
- DOI: https://doi.org/10.1090/S0002-9939-00-05988-8
- MathSciNet review: 1802003