Strong convergence of an implicit iteration process for a finite family of asymptotically quasi-nonexpansive mappings
โ Scribed by Zhao-hong Sun
- Publisher
- Elsevier Science
- Year
- 2003
- Tongue
- English
- Weight
- 171 KB
- Volume
- 286
- Category
- Article
- ISSN
- 0022-247X
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โฆ Synopsis
In the present paper, we prove that the modified implicit iteration sequence for a finite family of asymptotically quasi-nonexpansive mappings converges strongly to a common fixed point of the family in a uniformly convex Banach space, requiring one member T in the family to be semicompact. Our results extend and improve some recent results.
๐ SIMILAR VOLUMES
In this paper, we consider the weak and strong convergence of implicit iteration process to a common fixed point of I-asymptotically nonexpansive mappings. The main results extend to a finite family of I-asymptotically nonexpansive mappings in a Banach space.
In this paper, we prove that the modified implicit iteration sequence for a finite family of relatively weak quasi-nonexpansive mappings converges strongly to a common fixed point of the family in the framework of Banach spaces. Our results improve and extend the results announced by many others.
The purpose of this work is to study the sufficient and necessary conditions and sufficient conditions on the strong convergence of the implicit iteration process with errors for a finite family of asymptotically nonexpansive mappings in real uniformly convex Banach spaces. The results presented in