Implicit Mann Type Iteration Method Involving Strictly Hemicontractive Mappings in Banach Spaces

We proved that the modified implicit Mann iteration process can be applied to approximate the fixed point of strictly hemicontractive mappings in smooth Banach spaces.

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Main Authors: Arif Rafiq, Shin Min Kang
Format: Article
Language:English
Published: Wiley 2012-01-01
Series:Journal of Applied Mathematics
Online Access:http://dx.doi.org/10.1155/2012/294718
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author Arif Rafiq
Shin Min Kang
author_facet Arif Rafiq
Shin Min Kang
author_sort Arif Rafiq
collection DOAJ
description We proved that the modified implicit Mann iteration process can be applied to approximate the fixed point of strictly hemicontractive mappings in smooth Banach spaces.
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institution Kabale University
issn 1110-757X
1687-0042
language English
publishDate 2012-01-01
publisher Wiley
record_format Article
series Journal of Applied Mathematics
spelling doaj-art-e14b7f7a965e426ea67f79e958139f2a2025-02-03T01:03:49ZengWileyJournal of Applied Mathematics1110-757X1687-00422012-01-01201210.1155/2012/294718294718Implicit Mann Type Iteration Method Involving Strictly Hemicontractive Mappings in Banach SpacesArif Rafiq0Shin Min Kang1Hajvery University, 43-52 Industrial Area, Gulberg-III, Lahore, PakistanDepartment of Mathematics and RINS, Gyeongsang National University, Jinju 660-701, Republic of KoreaWe proved that the modified implicit Mann iteration process can be applied to approximate the fixed point of strictly hemicontractive mappings in smooth Banach spaces.http://dx.doi.org/10.1155/2012/294718
spellingShingle Arif Rafiq
Shin Min Kang
Implicit Mann Type Iteration Method Involving Strictly Hemicontractive Mappings in Banach Spaces
Journal of Applied Mathematics
title Implicit Mann Type Iteration Method Involving Strictly Hemicontractive Mappings in Banach Spaces
title_full Implicit Mann Type Iteration Method Involving Strictly Hemicontractive Mappings in Banach Spaces
title_fullStr Implicit Mann Type Iteration Method Involving Strictly Hemicontractive Mappings in Banach Spaces
title_full_unstemmed Implicit Mann Type Iteration Method Involving Strictly Hemicontractive Mappings in Banach Spaces
title_short Implicit Mann Type Iteration Method Involving Strictly Hemicontractive Mappings in Banach Spaces
title_sort implicit mann type iteration method involving strictly hemicontractive mappings in banach spaces
url http://dx.doi.org/10.1155/2012/294718
work_keys_str_mv AT arifrafiq implicitmanntypeiterationmethodinvolvingstrictlyhemicontractivemappingsinbanachspaces
AT shinminkang implicitmanntypeiterationmethodinvolvingstrictlyhemicontractivemappingsinbanachspaces