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
Approximation of common fixed points for a family of finite nonexpansive mappings in Banach space
โ Scribed by Dingping Wu; Shih-sen Chang; George X. Yuan
- Publisher
- Elsevier Science
- Year
- 2005
- Tongue
- English
- Weight
- 151 KB
- Volume
- 63
- Category
- Article
- ISSN
- 0362-546X
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โฆ Synopsis
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 Reich's open question but also extend and improve some recent results of Bauschke [
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