Common Coupled Fixed Point Theorems for Two Hybrid Pairs of Mappings under φ-ψ Contraction

We introduce the concept of (EA) property and occasional w-compatibility for hybrid pair F : X × X → 2(X) and f : X → X. We also introduce common (EA) property for two hybrid pairs F, G : X → 2(X) and f, g : X → X. We establish some common coupled fixed point theorems for two hybrid pairs of mapping...

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Detalles Bibliográficos
Autores principales: Deshpande, Bhavana, Handa, Amrish
Formato: Online Artículo Texto
Lenguaje:English
Publicado: Hindawi Publishing Corporation 2014
Materias:
Research Article
Acceso en línea:https://www.ncbi.nlm.nih.gov/pmc/articles/PMC4899606/
https://www.ncbi.nlm.nih.gov/pubmed/27340688
http://dx.doi.org/10.1155/2014/608725
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author Deshpande, Bhavana
Handa, Amrish
author_facet Deshpande, Bhavana
Handa, Amrish
author_sort Deshpande, Bhavana
collection PubMed
description We introduce the concept of (EA) property and occasional w-compatibility for hybrid pair F : X × X → 2(X) and f : X → X. We also introduce common (EA) property for two hybrid pairs F, G : X → 2(X) and f, g : X → X. We establish some common coupled fixed point theorems for two hybrid pairs of mappings under φ-ψ contraction on noncomplete metric spaces. An example is also given to validate our results. We improve, extend and generalize several known results. The results of this paper generalize the common fixed point theorems for hybrid pairs of mappings and essentially contain fixed point theorems for hybrid pair of mappings.
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spelling pubmed-48996062016-06-23 Common Coupled Fixed Point Theorems for Two Hybrid Pairs of Mappings under φ-ψ Contraction Deshpande, Bhavana Handa, Amrish Int Sch Res Notices Research Article We introduce the concept of (EA) property and occasional w-compatibility for hybrid pair F : X × X → 2(X) and f : X → X. We also introduce common (EA) property for two hybrid pairs F, G : X → 2(X) and f, g : X → X. We establish some common coupled fixed point theorems for two hybrid pairs of mappings under φ-ψ contraction on noncomplete metric spaces. An example is also given to validate our results. We improve, extend and generalize several known results. The results of this paper generalize the common fixed point theorems for hybrid pairs of mappings and essentially contain fixed point theorems for hybrid pair of mappings. Hindawi Publishing Corporation 2014-11-27 /pmc/articles/PMC4899606/ /pubmed/27340688 http://dx.doi.org/10.1155/2014/608725 Text en Copyright © 2014 B. Deshpande and A. Handa. https://creativecommons.org/licenses/by/3.0/ This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
spellingShingle Research Article
Deshpande, Bhavana
Handa, Amrish
Common Coupled Fixed Point Theorems for Two Hybrid Pairs of Mappings under φ-ψ Contraction
title Common Coupled Fixed Point Theorems for Two Hybrid Pairs of Mappings under φ-ψ Contraction
title_full Common Coupled Fixed Point Theorems for Two Hybrid Pairs of Mappings under φ-ψ Contraction
title_fullStr Common Coupled Fixed Point Theorems for Two Hybrid Pairs of Mappings under φ-ψ Contraction
title_full_unstemmed Common Coupled Fixed Point Theorems for Two Hybrid Pairs of Mappings under φ-ψ Contraction
title_short Common Coupled Fixed Point Theorems for Two Hybrid Pairs of Mappings under φ-ψ Contraction
title_sort common coupled fixed point theorems for two hybrid pairs of mappings under φ-ψ contraction
topic Research Article
url https://www.ncbi.nlm.nih.gov/pmc/articles/PMC4899606/
https://www.ncbi.nlm.nih.gov/pubmed/27340688
http://dx.doi.org/10.1155/2014/608725
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AT handaamrish commoncoupledfixedpointtheoremsfortwohybridpairsofmappingsunderphpscontraction

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