In this paper, we introduce a new two-step iterative scheme for two asymptotically nonexpansive nonself-mappings in a uniformly convex Banach space. Weak and strong convergence theorems are established for the new two-step iterative scheme in a uniformly convex Banach space.
Krasnoselski-Mann Iterations for Hierarchical Fixed Point Problems for a Finite Family of Nonself Mappings in Banach Spaces
✍ Scribed by L. C. Ceng; A. Petruşel
- Book ID
- 106433266
- Publisher
- Springer
- Year
- 2010
- Tongue
- English
- Weight
- 494 KB
- Volume
- 146
- Category
- Article
- ISSN
- 0022-3239
No coin nor oath required. For personal study only.
📜 SIMILAR VOLUMES
Suppose that K is a nonempty closed convex subset of a real uniformly convex Banach space E, which is also a nonexpansive retract of E with nonexpansive retraction P. for some δ ∈ (0, 1). Some strong and weak convergence theorems of {x n } to some q ∈ F are obtained under some suitable conditions i
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