Convergence of implicit iterates with errors for mappings with unbounded domain in Banach spaces

Hafiz Fukhar-Ud-Din; Abdul Rahim Khan

doi:10.1155/IJMMS.2005.1643

Convergence of implicit iterates with errors for mappings with unbounded domain in Banach spaces

Hafiz Fukhar-Ud-Din^*
, Abdul Rahim Khan

^*Corresponding author for this work

Department of Mathematics

Research output: Contribution to journal › Article › peer-review

12 Scopus citations

Abstract

We prove that an implicit iterative process with errors converges weakly and strongly to a common fixed point of a finite family of asymptotically quasi-nonexpansive mappings on unbounded sets in a uniformly convex Banach space. Our results generalize and improve upon, among others, the corresponding recent results of Sun (2003) in the following two different directions: (i) domain of the mappings is unbounded, (ii) the iterative sequence contains an error term.

Original language	English
Pages (from-to)	1643-1653
Number of pages	11
Journal	International Journal of Mathematics and Mathematical Sciences
Volume	2005
Issue number	10
DOIs	https://doi.org/10.1155/IJMMS.2005.1643
State	Published - 20 Jul 2005

ASJC Scopus subject areas

Mathematics (miscellaneous)

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title = "Convergence of implicit iterates with errors for mappings with unbounded domain in Banach spaces",

abstract = "We prove that an implicit iterative process with errors converges weakly and strongly to a common fixed point of a finite family of asymptotically quasi-nonexpansive mappings on unbounded sets in a uniformly convex Banach space. Our results generalize and improve upon, among others, the corresponding recent results of Sun (2003) in the following two different directions: (i) domain of the mappings is unbounded, (ii) the iterative sequence contains an error term.",

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AU - Fukhar-Ud-Din, Hafiz

AU - Khan, Abdul Rahim

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N2 - We prove that an implicit iterative process with errors converges weakly and strongly to a common fixed point of a finite family of asymptotically quasi-nonexpansive mappings on unbounded sets in a uniformly convex Banach space. Our results generalize and improve upon, among others, the corresponding recent results of Sun (2003) in the following two different directions: (i) domain of the mappings is unbounded, (ii) the iterative sequence contains an error term.

AB - We prove that an implicit iterative process with errors converges weakly and strongly to a common fixed point of a finite family of asymptotically quasi-nonexpansive mappings on unbounded sets in a uniformly convex Banach space. Our results generalize and improve upon, among others, the corresponding recent results of Sun (2003) in the following two different directions: (i) domain of the mappings is unbounded, (ii) the iterative sequence contains an error term.

UR - https://www.scopus.com/pages/publications/27744436540

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DO - 10.1155/IJMMS.2005.1643

M3 - Article

AN - SCOPUS:27744436540

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EP - 1653

JO - International Journal of Mathematics and Mathematical Sciences

JF - International Journal of Mathematics and Mathematical Sciences

IS - 10

ER -

Convergence of implicit iterates with errors for mappings with unbounded domain in Banach spaces

Abstract

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