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Convergence of perturbed composite implicit iteration process for a finite family of asymptotically nonexpansive mappings

✍ Scribed by Xuewu Wang

Book ID
120735816
Publisher
Springer International Publishing AG
Year
2013
Tongue
English
Weight
217 KB
Volume
2013
Category
Article
ISSN
1687-1820

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πŸ“œ SIMILAR VOLUMES

On the convergence theorems of implicit
On the convergence theorems of implicit iteration process for a finite family of -asymptotically nonexpansive mappings
✍ Seyit Temir πŸ“‚ Article πŸ“… 2009 πŸ› Elsevier Science 🌐 English βš– 517 KB

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.

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✍ Zhao-hong Sun πŸ“‚ Article πŸ“… 2003 πŸ› Elsevier Science 🌐 English βš– 171 KB

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 resu