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On the strong convergence of the implicit iterative processes with errors for a finite family of asymptotically nonexpansive mappings

โœ Scribed by Weiping Guo; Yeol Je Cho

Publisher
Elsevier Science
Year
2008
Tongue
English
Weight
211 KB
Volume
21
Category
Article
ISSN
0893-9659

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โœฆ Synopsis

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 this work give an affirmative answer to the open question raised by Xu and Ori [H.K. Xu, M.G. Ori, An implicit iterative process for nonexpansive mappings, Numer. Funct. Anal. Optim. 22 (2001) 767-773] and improve and generalize the corresponding results of Chang et al. [

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