Nonexpansive mappings in metric and Banach spaces
β Scribed by Kirk, W. A.
- Publisher
- Springer-Verlag
- Year
- 1981
- Weight
- 519 KB
- Volume
- 51
- Category
- Article
- ISSN
- 0370-7377
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π SIMILAR VOLUMES
In this paper, a strong convergence theorem for asymptotically nonexpansive mappings in a uniformly convex and smooth Banach space is proved by using metric projections. This theorem extends and improves the recent strong convergence theorem due to Matsushita and Takahashi [S. Matsushita, W. Takahas
We introduce the class of Ξ±-nonexpansive mappings in Banach spaces. This class contains the class of nonexpansive mappings and is related to the class of firmly nonexpansive mappings in Banach spaces. In addition, we obtain a fixed point theorem for Ξ±nonexpansive mappings in uniformly convex Banach
Let (M,p) be a metric space, T be a Hausdorff topology on M such that (M,p,7) has Oplal's condltlon, and T M H M be a nonexpansive mapping Then for any p-bounded sequence {z~}, the condltlon {Tnxn} IS T-convergent to z for all m E N lmphes that TX = z This T-demlclosedness prmclple IS to be used to