A New One-Step Iterative Process for Common Fixed Points in Banach Spaces

A New One-Step Iterative Process for Common Fixed Points in Banach Spaces

We introduce a new one-step iterative process and use it to approximate the common fixed points of two asymptotically nonexpansive mappings through some weak and strong convergence theorems. Our process is computationally simpler than the processes currently being used in literature for the purpose.

Bibliographic Details
Main Authors: Jong Kyu Kim, Safeer Hussain Khan, Mujahid Abbas
Format: Article
Language:English
Published: SpringerOpen 2008-12-01
Series:Journal of Inequalities and Applications
Online Access:http://dx.doi.org/10.1155/2008/548627
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spelling doaj-be7dff7ffd8a4e40b4d2d8f1ac5e964c2020-11-24T20:51:29ZengSpringerOpenJournal of Inequalities and Applications1025-58341029-242X2008-12-01200810.1155/2008/548627A New One-Step Iterative Process for Common Fixed Points in Banach SpacesJong Kyu KimSafeer Hussain KhanMujahid AbbasWe introduce a new one-step iterative process and use it to approximate the common fixed points of two asymptotically nonexpansive mappings through some weak and strong convergence theorems. Our process is computationally simpler than the processes currently being used in literature for the purpose.http://dx.doi.org/10.1155/2008/548627
collection DOAJ
language English
format Article
sources DOAJ
author Jong Kyu Kim
Safeer Hussain Khan
Mujahid Abbas
spellingShingle Jong Kyu Kim
Safeer Hussain Khan
Mujahid Abbas
A New One-Step Iterative Process for Common Fixed Points in Banach Spaces
Journal of Inequalities and Applications
author_facet Jong Kyu Kim
Safeer Hussain Khan
Mujahid Abbas
author_sort Jong Kyu Kim
title A New One-Step Iterative Process for Common Fixed Points in Banach Spaces
title_short A New One-Step Iterative Process for Common Fixed Points in Banach Spaces
title_full A New One-Step Iterative Process for Common Fixed Points in Banach Spaces
title_fullStr A New One-Step Iterative Process for Common Fixed Points in Banach Spaces
title_full_unstemmed A New One-Step Iterative Process for Common Fixed Points in Banach Spaces
title_sort new one-step iterative process for common fixed points in banach spaces
publisher SpringerOpen
series Journal of Inequalities and Applications
issn 1025-5834
1029-242X
publishDate 2008-12-01
description We introduce a new one-step iterative process and use it to approximate the common fixed points of two asymptotically nonexpansive mappings through some weak and strong convergence theorems. Our process is computationally simpler than the processes currently being used in literature for the purpose.
url http://dx.doi.org/10.1155/2008/548627
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AT safeerhussainkhan anewonestepiterativeprocessforcommonfixedpointsinbanachspaces
AT mujahidabbas anewonestepiterativeprocessforcommonfixedpointsinbanachspaces
AT jongkyukim newonestepiterativeprocessforcommonfixedpointsinbanachspaces
AT safeerhussainkhan newonestepiterativeprocessforcommonfixedpointsinbanachspaces
AT mujahidabbas newonestepiterativeprocessforcommonfixedpointsinbanachspaces
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