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Strong convergence of an implicit iteration process for a finite family of nonexpansive mappings

โœ Scribed by C.E. Chidume; Naseer Shahzad

Publisher
Elsevier Science
Year
2005
Tongue
English
Weight
169 KB
Volume
62
Category
Article
ISSN
0362-546X

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๐Ÿ“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
โœ Seyit Temir ๐Ÿ“‚ Article ๐Ÿ“… 2009 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 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.

On the strong convergence of the implici
On the strong convergence of the implicit iterative processes with errors for a finite family of asymptotically nonexpansive mappings
โœ Weiping Guo; Yeol Je Cho ๐Ÿ“‚ Article ๐Ÿ“… 2008 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 211 KB

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

On the strong convergence of the implici
On the strong convergence of the implicit iterative processes for a finite family of relatively weak quasi-nonexpansive mappings
โœ Gang Cai; Chang song Hu ๐Ÿ“‚ Article ๐Ÿ“… 2010 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 418 KB

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.

Strong convergence theorems for the impl
Strong convergence theorems for the implicit iteration process for a finite family of hemicontractive mappings in Banach space
โœ Huimin He; Xinshe Wang; Rudong Chen; Nenad Cakic ๐Ÿ“‚ Article ๐Ÿ“… 2009 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 325 KB

The purpose of this work is to study the following implicit iteration scheme where T n = T nmodN , and to prove several strongly convergent theorems of the iteration for a finite family of hemicontractive mappings in Banach space. Our results extend a recent result of Haiyun Zhou [Haiyun Zhou, Conv