Approximating fixed points of total asymptotically nonexpansive mappings

We introduce a new class of asymptotically nonexpansive mappings and study approximating methods for finding their fixed points. We deal with the Krasnosel'skii-Mann-type iterative process. The strong and weak convergence results for self-mappings in normed spaces are presented. We also conside...

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Main Authors:	H. Zegeye, C. E. Chidume, Ya. I. Alber
Format:	Article
Language:	English
Published:	SpringerOpen 2006-03-01
Series:	Fixed Point Theory and Applications
Online Access:	http://dx.doi.org/10.1155/FPTA/2006/10673

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spelling	doaj-43e1e48bc82d4c67829b9a0cd29f97dd2020-11-24T20:55:00ZengSpringerOpenFixed Point Theory and Applications1687-18201687-18122006-03-01200610.1155/FPTA/2006/10673Approximating fixed points of total asymptotically nonexpansive mappingsH. ZegeyeC. E. ChidumeYa. I. AlberWe introduce a new class of asymptotically nonexpansive mappings and study approximating methods for finding their fixed points. We deal with the Krasnosel'skii-Mann-type iterative process. The strong and weak convergence results for self-mappings in normed spaces are presented. We also consider the asymptotically weakly contractive mappings.http://dx.doi.org/10.1155/FPTA/2006/10673
collection	DOAJ
language	English
format	Article
sources	DOAJ
author	H. Zegeye C. E. Chidume Ya. I. Alber
spellingShingle	H. Zegeye C. E. Chidume Ya. I. Alber Approximating fixed points of total asymptotically nonexpansive mappings Fixed Point Theory and Applications
author_facet	H. Zegeye C. E. Chidume Ya. I. Alber
author_sort	H. Zegeye
title	Approximating fixed points of total asymptotically nonexpansive mappings
title_short	Approximating fixed points of total asymptotically nonexpansive mappings
title_full	Approximating fixed points of total asymptotically nonexpansive mappings
title_fullStr	Approximating fixed points of total asymptotically nonexpansive mappings
title_full_unstemmed	Approximating fixed points of total asymptotically nonexpansive mappings
title_sort	approximating fixed points of total asymptotically nonexpansive mappings
publisher	SpringerOpen
series	Fixed Point Theory and Applications
issn	1687-1820 1687-1812
publishDate	2006-03-01
description	We introduce a new class of asymptotically nonexpansive mappings and study approximating methods for finding their fixed points. We deal with the Krasnosel'skii-Mann-type iterative process. The strong and weak convergence results for self-mappings in normed spaces are presented. We also consider the asymptotically weakly contractive mappings.
url	http://dx.doi.org/10.1155/FPTA/2006/10673
work_keys_str_mv	AT hzegeye approximatingfixedpointsoftotalasymptoticallynonexpansivemappings AT cechidume approximatingfixedpointsoftotalasymptoticallynonexpansivemappings AT yaialber approximatingfixedpointsoftotalasymptoticallynonexpansivemappings
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Approximating fixed points of total asymptotically nonexpansive mappings

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