On convergence theorems of an implicit iterative process with errors for a finite family of asymptotically quasi-I-nonexpansive mappings

In this paper we prove the weak and strong convergence of the implicit iterative process with errors to a common fixed point of a finite family of asymptotically quasi I-nonexpansive mappings as well as a family of asymptotically quasi nonexpansive mappings in the framework of Banach spaces. The ob...

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Bibliographic Details
Main Authors: Mukhamedov, Farrukh, Saburov, Mansoor
Format: Article
Language:English
Published: AJMA 2012
Subjects:
Online Access:http://irep.iium.edu.my/28022/
http://irep.iium.edu.my/28022/
http://irep.iium.edu.my/28022/1/A_Finite_Family_I-nonexpansive_Mappings-AJMAA.pdf
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Summary:In this paper we prove the weak and strong convergence of the implicit iterative process with errors to a common fixed point of a finite family of asymptotically quasi I-nonexpansive mappings as well as a family of asymptotically quasi nonexpansive mappings in the framework of Banach spaces. The obtained results improve and generalize the corresponding results in the existing literature.