Ulam-Hyers Stability Results for Fixed Point Problems via --Contractive Mapping in ()-Metric Space

We will investigate some existence, uniqueness, and Ulam-Hyers stability results for fixed point problems via --contractive mapping of type-() in the framework of -metric spaces. The presented theorems extend, generalize, and unify several results in the literature, involving the results of Samet et...

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Main Authors: Monica-Felicia Bota, Erdal Karapınar, Oana Mleşniţe
Format: Article
Language:English
Published: Wiley 2013-01-01
Series:Abstract and Applied Analysis
Online Access:http://dx.doi.org/10.1155/2013/825293
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author Monica-Felicia Bota
Erdal Karapınar
Oana Mleşniţe
author_facet Monica-Felicia Bota
Erdal Karapınar
Oana Mleşniţe
author_sort Monica-Felicia Bota
collection DOAJ
description We will investigate some existence, uniqueness, and Ulam-Hyers stability results for fixed point problems via --contractive mapping of type-() in the framework of -metric spaces. The presented theorems extend, generalize, and unify several results in the literature, involving the results of Samet et al. (2012).
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institution Kabale University
issn 1085-3375
1687-0409
language English
publishDate 2013-01-01
publisher Wiley
record_format Article
series Abstract and Applied Analysis
spelling doaj-art-e7066208ad0d4cf093af76980a74d4782025-02-03T05:46:08ZengWileyAbstract and Applied Analysis1085-33751687-04092013-01-01201310.1155/2013/825293825293Ulam-Hyers Stability Results for Fixed Point Problems via --Contractive Mapping in ()-Metric SpaceMonica-Felicia Bota0Erdal Karapınar1Oana Mleşniţe2Department of Mathematics, Babeş-Bolyai University, Kogălniceanu Street No. 1, 400084 Cluj-Napoca, RomaniaDepartment of Mathematics, Atilim University, İncek, 06836 Ankara, TurkeyDepartment of Mathematics, Babeş-Bolyai University, Kogălniceanu Street No. 1, 400084 Cluj-Napoca, RomaniaWe will investigate some existence, uniqueness, and Ulam-Hyers stability results for fixed point problems via --contractive mapping of type-() in the framework of -metric spaces. The presented theorems extend, generalize, and unify several results in the literature, involving the results of Samet et al. (2012).http://dx.doi.org/10.1155/2013/825293
spellingShingle Monica-Felicia Bota
Erdal Karapınar
Oana Mleşniţe
Ulam-Hyers Stability Results for Fixed Point Problems via --Contractive Mapping in ()-Metric Space
Abstract and Applied Analysis
title Ulam-Hyers Stability Results for Fixed Point Problems via --Contractive Mapping in ()-Metric Space
title_full Ulam-Hyers Stability Results for Fixed Point Problems via --Contractive Mapping in ()-Metric Space
title_fullStr Ulam-Hyers Stability Results for Fixed Point Problems via --Contractive Mapping in ()-Metric Space
title_full_unstemmed Ulam-Hyers Stability Results for Fixed Point Problems via --Contractive Mapping in ()-Metric Space
title_short Ulam-Hyers Stability Results for Fixed Point Problems via --Contractive Mapping in ()-Metric Space
title_sort ulam hyers stability results for fixed point problems via contractive mapping in metric space
url http://dx.doi.org/10.1155/2013/825293
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