Coupled Coincidence Point and Coupled Fixed Point Theorems via Generalized Meir-Keeler Type Contractions

We prove coupled coincidence point and coupled fixed point results of 𝐹∶𝑋×𝑋→𝑋 and 𝑔∶𝑋→𝑋 involving Meir-Keeler type contractions on the class of partially ordered metric spaces. Our results generalize some recent results in the literature. Also, we give some illustrative examples and application....

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Main Authors: Hassen Aydi, Erdal Karapınar, İnci M. Erhan
Format: Article
Language:English
Published: Wiley 2012-01-01
Series:Abstract and Applied Analysis
Online Access:http://dx.doi.org/10.1155/2012/781563
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author Hassen Aydi
Erdal Karapınar
İnci M. Erhan
author_facet Hassen Aydi
Erdal Karapınar
İnci M. Erhan
author_sort Hassen Aydi
collection DOAJ
description We prove coupled coincidence point and coupled fixed point results of 𝐹∶𝑋×𝑋→𝑋 and 𝑔∶𝑋→𝑋 involving Meir-Keeler type contractions on the class of partially ordered metric spaces. Our results generalize some recent results in the literature. Also, we give some illustrative examples and application.
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institution Kabale University
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publishDate 2012-01-01
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series Abstract and Applied Analysis
spelling doaj-art-90af2aa339d74327a07173337e6264f72025-02-03T01:29:13ZengWileyAbstract and Applied Analysis1085-33751687-04092012-01-01201210.1155/2012/781563781563Coupled Coincidence Point and Coupled Fixed Point Theorems via Generalized Meir-Keeler Type ContractionsHassen Aydi0Erdal Karapınar1İnci M. Erhan2Institut Supérieur d'Informatique et des Technologies de Communication de Hammam Sousse, Université de Sousse, Route GP1, 4011 Hammam 4002 Sousse, TunisiaDepartment of Mathematics, Atilim University, Incek, 06836 Ankara, TurkeyDepartment of Mathematics, Atilim University, Incek, 06836 Ankara, TurkeyWe prove coupled coincidence point and coupled fixed point results of 𝐹∶𝑋×𝑋→𝑋 and 𝑔∶𝑋→𝑋 involving Meir-Keeler type contractions on the class of partially ordered metric spaces. Our results generalize some recent results in the literature. Also, we give some illustrative examples and application.http://dx.doi.org/10.1155/2012/781563
spellingShingle Hassen Aydi
Erdal Karapınar
İnci M. Erhan
Coupled Coincidence Point and Coupled Fixed Point Theorems via Generalized Meir-Keeler Type Contractions
Abstract and Applied Analysis
title Coupled Coincidence Point and Coupled Fixed Point Theorems via Generalized Meir-Keeler Type Contractions
title_full Coupled Coincidence Point and Coupled Fixed Point Theorems via Generalized Meir-Keeler Type Contractions
title_fullStr Coupled Coincidence Point and Coupled Fixed Point Theorems via Generalized Meir-Keeler Type Contractions
title_full_unstemmed Coupled Coincidence Point and Coupled Fixed Point Theorems via Generalized Meir-Keeler Type Contractions
title_short Coupled Coincidence Point and Coupled Fixed Point Theorems via Generalized Meir-Keeler Type Contractions
title_sort coupled coincidence point and coupled fixed point theorems via generalized meir keeler type contractions
url http://dx.doi.org/10.1155/2012/781563
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AT erdalkarapınar coupledcoincidencepointandcoupledfixedpointtheoremsviageneralizedmeirkeelertypecontractions
AT incimerhan coupledcoincidencepointandcoupledfixedpointtheoremsviageneralizedmeirkeelertypecontractions