Fixed Point Results for Almost Generalized Cyclic (ψ,φ)-Weak Contractive Type Mappings with Applications

We define a class of almost generalized cyclic (ψ,ϕ)-weak contractive mappings and discuss the existence and uniqueness of fixed points for such mappings. We present some examples to illustrate our results. Moreover, we state some applications of our main results in nonlinear integral equations.

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Main Authors: Mohamed Jleli, Erdal Karapınar, Bessem Samet
Format: Article
Language:English
Published: Wiley 2012-01-01
Series:Abstract and Applied Analysis
Online Access:http://dx.doi.org/10.1155/2012/917831
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author Mohamed Jleli
Erdal Karapınar
Bessem Samet
author_facet Mohamed Jleli
Erdal Karapınar
Bessem Samet
author_sort Mohamed Jleli
collection DOAJ
description We define a class of almost generalized cyclic (ψ,ϕ)-weak contractive mappings and discuss the existence and uniqueness of fixed points for such mappings. We present some examples to illustrate our results. Moreover, we state some applications of our main results in nonlinear integral equations.
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institution Kabale University
issn 1085-3375
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publishDate 2012-01-01
publisher Wiley
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series Abstract and Applied Analysis
spelling doaj-art-f8843901b27f4ea48ac5d529c6cdc7252025-02-03T05:44:39ZengWileyAbstract and Applied Analysis1085-33751687-04092012-01-01201210.1155/2012/917831917831Fixed Point Results for Almost Generalized Cyclic (ψ,φ)-Weak Contractive Type Mappings with ApplicationsMohamed Jleli0Erdal Karapınar1Bessem Samet2Department of Mathematics, King Saud University, Riyadh 11451, Saudi ArabiaDepartment of Mathematics, Atılım University, 06836 İncek, Ankara, TurkeyDepartment of Mathematics, King Saud University, Riyadh 11451, Saudi ArabiaWe define a class of almost generalized cyclic (ψ,ϕ)-weak contractive mappings and discuss the existence and uniqueness of fixed points for such mappings. We present some examples to illustrate our results. Moreover, we state some applications of our main results in nonlinear integral equations.http://dx.doi.org/10.1155/2012/917831
spellingShingle Mohamed Jleli
Erdal Karapınar
Bessem Samet
Fixed Point Results for Almost Generalized Cyclic (ψ,φ)-Weak Contractive Type Mappings with Applications
Abstract and Applied Analysis
title Fixed Point Results for Almost Generalized Cyclic (ψ,φ)-Weak Contractive Type Mappings with Applications
title_full Fixed Point Results for Almost Generalized Cyclic (ψ,φ)-Weak Contractive Type Mappings with Applications
title_fullStr Fixed Point Results for Almost Generalized Cyclic (ψ,φ)-Weak Contractive Type Mappings with Applications
title_full_unstemmed Fixed Point Results for Almost Generalized Cyclic (ψ,φ)-Weak Contractive Type Mappings with Applications
title_short Fixed Point Results for Almost Generalized Cyclic (ψ,φ)-Weak Contractive Type Mappings with Applications
title_sort fixed point results for almost generalized cyclic ψ φ weak contractive type mappings with applications
url http://dx.doi.org/10.1155/2012/917831
work_keys_str_mv AT mohamedjleli fixedpointresultsforalmostgeneralizedcyclicpsphweakcontractivetypemappingswithapplications
AT erdalkarapınar fixedpointresultsforalmostgeneralizedcyclicpsphweakcontractivetypemappingswithapplications
AT bessemsamet fixedpointresultsforalmostgeneralizedcyclicpsphweakcontractivetypemappingswithapplications