Fixed Point Results for Various α-Admissible Contractive Mappings on Metric-Like Spaces

Fixed Point Results for Various α-Admissible Contractive Mappings on Metric-Like Spaces

We establish some fixed point theorems for α-admissible mappings in the context of metric-like space via various auxiliary functions. In particular, we prove the existence of a fixed point of the generalized Meir-Keeler type α-ϕ-contractive self-mapping f defined on a metric-like space X. The given...

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Main Authors: Saleh A. Al-Mezel, Chi-Ming Chen, Erdal Karapınar, Vladimir Rakočević
Format: Article
Language:English
Published: Hindawi Limited 2014-01-01
Series:Abstract and Applied Analysis
Online Access:http://dx.doi.org/10.1155/2014/379358
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spelling doaj-764a88174226483199250684b1abf2162020-11-24T20:42:12ZengHindawi LimitedAbstract and Applied Analysis1085-33751687-04092014-01-01201410.1155/2014/379358379358Fixed Point Results for Various α-Admissible Contractive Mappings on Metric-Like SpacesSaleh A. Al-Mezel0Chi-Ming Chen1Erdal Karapınar2Vladimir Rakočević3Nonlinear Analysis and Applied Mathematics Research Group (NAAM), King Abdulaziz University, Jeddah 21491, Saudi ArabiaDepartment of Applied Mathematics, National Hsinchu University of Education, TaiwanNonlinear Analysis and Applied Mathematics Research Group (NAAM), King Abdulaziz University, Jeddah 21491, Saudi ArabiaFaculty of Sciences and Mathematics, University of Niš, Višegradska 33, 18000 Niš, SerbiaWe establish some fixed point theorems for α-admissible mappings in the context of metric-like space via various auxiliary functions. In particular, we prove the existence of a fixed point of the generalized Meir-Keeler type α-ϕ-contractive self-mapping f defined on a metric-like space X. The given results generalize, improve, and unify several fixed point theorems for the generalized cyclic contractive mappings that have appeared recently in the literature.http://dx.doi.org/10.1155/2014/379358
collection DOAJ
language English
format Article
sources DOAJ
author Saleh A. Al-Mezel
Chi-Ming Chen
Erdal Karapınar
Vladimir Rakočević
spellingShingle Saleh A. Al-Mezel
Chi-Ming Chen
Erdal Karapınar
Vladimir Rakočević
Fixed Point Results for Various α-Admissible Contractive Mappings on Metric-Like Spaces
Abstract and Applied Analysis
author_facet Saleh A. Al-Mezel
Chi-Ming Chen
Erdal Karapınar
Vladimir Rakočević
author_sort Saleh A. Al-Mezel
title Fixed Point Results for Various α-Admissible Contractive Mappings on Metric-Like Spaces
title_short Fixed Point Results for Various α-Admissible Contractive Mappings on Metric-Like Spaces
title_full Fixed Point Results for Various α-Admissible Contractive Mappings on Metric-Like Spaces
title_fullStr Fixed Point Results for Various α-Admissible Contractive Mappings on Metric-Like Spaces
title_full_unstemmed Fixed Point Results for Various α-Admissible Contractive Mappings on Metric-Like Spaces
title_sort fixed point results for various α-admissible contractive mappings on metric-like spaces
publisher Hindawi Limited
series Abstract and Applied Analysis
issn 1085-3375
1687-0409
publishDate 2014-01-01
description We establish some fixed point theorems for α-admissible mappings in the context of metric-like space via various auxiliary functions. In particular, we prove the existence of a fixed point of the generalized Meir-Keeler type α-ϕ-contractive self-mapping f defined on a metric-like space X. The given results generalize, improve, and unify several fixed point theorems for the generalized cyclic contractive mappings that have appeared recently in the literature.
url http://dx.doi.org/10.1155/2014/379358
work_keys_str_mv AT salehaalmezel fixedpointresultsforvariousaadmissiblecontractivemappingsonmetriclikespaces
AT chimingchen fixedpointresultsforvariousaadmissiblecontractivemappingsonmetriclikespaces
AT erdalkarapınar fixedpointresultsforvariousaadmissiblecontractivemappingsonmetriclikespaces
AT vladimirrakocevic fixedpointresultsforvariousaadmissiblecontractivemappingsonmetriclikespaces
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