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On the strong convergence of the implicit iterative processes for a finite family of relatively weak quasi-nonexpansive mappings

โœ Scribed by Gang Cai; Chang song Hu

Publisher
Elsevier Science
Year
2010
Tongue
English
Weight
418 KB
Volume
23
Category
Article
ISSN
0893-9659

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โœฆ Synopsis

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.

๐Ÿ“œ SIMILAR VOLUMES

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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

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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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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