On some α-admissible contraction mappings on Branciari b-metric spaces

On some α-admissible contraction mappings on Branciari b-metric spaces

In this paper α-admissible contraction mappings on Branciari b-metric spaces are defined. Conditions for the existence and uniqueness of fixed points for these mappings are discussed and related theorems are proved. Various consequences of these theorems are given and specific examples are presented....

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Bibliographic Details
Main Author: Selma Gülyaz Özyurt
Format: Article
Language:English
Published: ATNAA 2017-06-01
Series:Advances in the Theory of Nonlinear Analysis and its Applications
Subjects:
Fixed point
Branciari b-metric space
α-admissible contraction mappings
b-comparison functions
Online Access:http://dergipark.gov.tr/download/article-file/596043
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spelling doaj-194193b039e04d37be8fc1f448b2e1b62020-11-25T01:30:08ZengATNAAAdvances in the Theory of Nonlinear Analysis and its Applications2587-26482587-26482017-06-011111310.31197/atnaa.318445On some α-admissible contraction mappings on Branciari b-metric spacesSelma Gülyaz Özyurt0 Department of Mathematics, Cumhuriyet University, Sivas, TurkeyIn this paper α-admissible contraction mappings on Branciari b-metric spaces are defined. Conditions for the existence and uniqueness of fixed points for these mappings are discussed and related theorems are proved. Various consequences of these theorems are given and specific examples are presented.http://dergipark.gov.tr/download/article-file/596043Fixed pointBranciari b-metric spaceα-admissible contraction mappingsb-comparison functions
collection DOAJ
language English
format Article
sources DOAJ
author Selma Gülyaz Özyurt
spellingShingle Selma Gülyaz Özyurt
On some α-admissible contraction mappings on Branciari b-metric spaces
Advances in the Theory of Nonlinear Analysis and its Applications
Fixed point
Branciari b-metric space
α-admissible contraction mappings
b-comparison functions
author_facet Selma Gülyaz Özyurt
author_sort Selma Gülyaz Özyurt
title On some α-admissible contraction mappings on Branciari b-metric spaces
title_short On some α-admissible contraction mappings on Branciari b-metric spaces
title_full On some α-admissible contraction mappings on Branciari b-metric spaces
title_fullStr On some α-admissible contraction mappings on Branciari b-metric spaces
title_full_unstemmed On some α-admissible contraction mappings on Branciari b-metric spaces
title_sort on some α-admissible contraction mappings on branciari b-metric spaces
publisher ATNAA
series Advances in the Theory of Nonlinear Analysis and its Applications
issn 2587-2648
2587-2648
publishDate 2017-06-01
description In this paper α-admissible contraction mappings on Branciari b-metric spaces are defined. Conditions for the existence and uniqueness of fixed points for these mappings are discussed and related theorems are proved. Various consequences of these theorems are given and specific examples are presented.
topic Fixed point
Branciari b-metric space
α-admissible contraction mappings
b-comparison functions
url http://dergipark.gov.tr/download/article-file/596043
work_keys_str_mv AT selmagulyazozyurt onsomeaadmissiblecontractionmappingsonbranciaribmetricspaces
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