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
Convergence theorems for common fixed points for finite families of nonexpansive mappings in reflexive Banach spaces
β Scribed by C.E. Chidume; Bashir Ali
- Publisher
- Elsevier Science
- Year
- 2008
- Tongue
- English
- Weight
- 270 KB
- Volume
- 68
- Category
- Article
- ISSN
- 0362-546X
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π SIMILAR VOLUMES
Some sufficient and necessary conditions for the iterative sequence converging to a common fixed points for a family of nonexpansive mappings in Banach spaces are obtained. The results presented in this paper not only give an affirmative answer to Halpern's open question and a partial answer to the
Let E be a real reflexive Banach space which admits a weakly sequentially continuous duality mapping from E to E \* , and K be a nonempty closed convex subset of E. Suppose that {T n } (n = 1, 2, . . .) is a uniformly asymptotically regular sequence of nonexpansive mappings from K into itself such t