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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Format: | Article |
Language: | English |
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Wiley
2012-01-01
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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. |
format | Article |
id | doaj-art-e14b7f7a965e426ea67f79e958139f2a |
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 |