Explicit iteration method for common fixed points of a finite family of nonself asymptotically nonexpansive mappings
โ Scribed by Lin Wang
- Publisher
- Elsevier Science
- Year
- 2007
- Tongue
- English
- Weight
- 211 KB
- Volume
- 53
- Category
- Article
- ISSN
- 0898-1221
No coin nor oath required. For personal study only.
โฆ Synopsis
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 ฮด โ (0, 1). Some strong and weak convergence theorems of {x n } to some q โ F are obtained under some suitable conditions in real uniformly convex Banach spaces.
๐ SIMILAR VOLUMES
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.
In this paper, we consider a new iterative scheme to approximate a common fixed point for a finite family of asymptotically quasi-nonexpansive mappings. We prove several strong and weak convergence results of the proposed iteration in Banach spaces. These results generalize and refine many known res
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