Fixed Points of Nonlinear and Asymptotic Contractions in the Modular Space

A fixed point theorem for nonlinear contraction in the modular space is proved. Moreover, a fixed point theorem for asymptotic contraction in this space is studied.

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Main Authors: A. Razani, E. Nabizadeh, M. Beyg Mohamadi, S. Homaei Pour
Format: Article
Language:English
Published: Wiley 2007-01-01
Series:Abstract and Applied Analysis
Online Access:http://dx.doi.org/10.1155/2007/40575
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author A. Razani
E. Nabizadeh
M. Beyg Mohamadi
S. Homaei Pour
author_facet A. Razani
E. Nabizadeh
M. Beyg Mohamadi
S. Homaei Pour
author_sort A. Razani
collection DOAJ
description A fixed point theorem for nonlinear contraction in the modular space is proved. Moreover, a fixed point theorem for asymptotic contraction in this space is studied.
format Article
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institution Kabale University
issn 1085-3375
1687-0409
language English
publishDate 2007-01-01
publisher Wiley
record_format Article
series Abstract and Applied Analysis
spelling doaj-art-d27eefc23c8c488b8325f36f446f0a772025-02-03T01:22:00ZengWileyAbstract and Applied Analysis1085-33751687-04092007-01-01200710.1155/2007/4057540575Fixed Points of Nonlinear and Asymptotic Contractions in the Modular SpaceA. Razani0E. Nabizadeh1M. Beyg Mohamadi2S. Homaei Pour3Department of Mathematics, Faculty of Science, Imam Khomeini International University, P.O. Box 34194-288, Qazvin, IranDepartment of Mathematics, Iran University of Science and Technology, Tehran 16844, IranDepartment of Mathematics, Iran University of Science and Technology, Tehran 16844, IranDepartment of Mathematics, Iran University of Science and Technology, Tehran 16844, IranA fixed point theorem for nonlinear contraction in the modular space is proved. Moreover, a fixed point theorem for asymptotic contraction in this space is studied.http://dx.doi.org/10.1155/2007/40575
spellingShingle A. Razani
E. Nabizadeh
M. Beyg Mohamadi
S. Homaei Pour
Fixed Points of Nonlinear and Asymptotic Contractions in the Modular Space
Abstract and Applied Analysis
title Fixed Points of Nonlinear and Asymptotic Contractions in the Modular Space
title_full Fixed Points of Nonlinear and Asymptotic Contractions in the Modular Space
title_fullStr Fixed Points of Nonlinear and Asymptotic Contractions in the Modular Space
title_full_unstemmed Fixed Points of Nonlinear and Asymptotic Contractions in the Modular Space
title_short Fixed Points of Nonlinear and Asymptotic Contractions in the Modular Space
title_sort fixed points of nonlinear and asymptotic contractions in the modular space
url http://dx.doi.org/10.1155/2007/40575
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AT enabizadeh fixedpointsofnonlinearandasymptoticcontractionsinthemodularspace
AT mbeygmohamadi fixedpointsofnonlinearandasymptoticcontractionsinthemodularspace
AT shomaeipour fixedpointsofnonlinearandasymptoticcontractionsinthemodularspace