A Note on Implicit and Explicit Mann Iterative Processes for Asymptotically 𝜙-Strongly Pseudocontractive Mappings

A Note on Implicit and Explicit Mann Iterative Processes for Asymptotically 𝜙-Strongly Pseudocontractive Mappings

In this paper we prove the equivalence and the strong convergence of an explicit Mann iterative process and a modified implicit iterative process for asymptotically 𝜙-strongly pseudocontractive mappings in a uniformly smooth Banach space.

Bibliographic Details
Main Authors: Luigi Muglia, Yonghong Yao
Format: Article
Language:English
Published: Hindawi Limited 2012-01-01
Series:Journal of Applied Mathematics
Online Access:http://dx.doi.org/10.1155/2012/912050
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spelling doaj-e3c76afd116c466581e1a130d687357f2020-11-24T22:57:29ZengHindawi LimitedJournal of Applied Mathematics1110-757X1687-00422012-01-01201210.1155/2012/912050912050A Note on Implicit and Explicit Mann Iterative Processes for Asymptotically 𝜙-Strongly Pseudocontractive MappingsLuigi Muglia0Yonghong Yao1Dipartimento di Matematica, Universitá della Calabria, 87036 Arcavacata di Rende, ItalyDepartment of Mathematics, Tianjin Polytechnic University, Tianjin 300387, ChinaIn this paper we prove the equivalence and the strong convergence of an explicit Mann iterative process and a modified implicit iterative process for asymptotically 𝜙-strongly pseudocontractive mappings in a uniformly smooth Banach space.http://dx.doi.org/10.1155/2012/912050
collection DOAJ
language English
format Article
sources DOAJ
author Luigi Muglia
Yonghong Yao
spellingShingle Luigi Muglia
Yonghong Yao
A Note on Implicit and Explicit Mann Iterative Processes for Asymptotically 𝜙-Strongly Pseudocontractive Mappings
Journal of Applied Mathematics
author_facet Luigi Muglia
Yonghong Yao
author_sort Luigi Muglia
title A Note on Implicit and Explicit Mann Iterative Processes for Asymptotically 𝜙-Strongly Pseudocontractive Mappings
title_short A Note on Implicit and Explicit Mann Iterative Processes for Asymptotically 𝜙-Strongly Pseudocontractive Mappings
title_full A Note on Implicit and Explicit Mann Iterative Processes for Asymptotically 𝜙-Strongly Pseudocontractive Mappings
title_fullStr A Note on Implicit and Explicit Mann Iterative Processes for Asymptotically 𝜙-Strongly Pseudocontractive Mappings
title_full_unstemmed A Note on Implicit and Explicit Mann Iterative Processes for Asymptotically 𝜙-Strongly Pseudocontractive Mappings
title_sort note on implicit and explicit mann iterative processes for asymptotically 𝜙-strongly pseudocontractive mappings
publisher Hindawi Limited
series Journal of Applied Mathematics
issn 1110-757X
1687-0042
publishDate 2012-01-01
description In this paper we prove the equivalence and the strong convergence of an explicit Mann iterative process and a modified implicit iterative process for asymptotically 𝜙-strongly pseudocontractive mappings in a uniformly smooth Banach space.
url http://dx.doi.org/10.1155/2012/912050
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AT luigimuglia noteonimplicitandexplicitmanniterativeprocessesforasymptoticallyφstronglypseudocontractivemappings
AT yonghongyao noteonimplicitandexplicitmanniterativeprocessesforasymptoticallyφstronglypseudocontractivemappings
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