A general common fixed point result for two pairs of maps in b-metric spaces

Abstract We establish a general common fixed point problem for two pairs {f, S} and {g, T } of weakly compatibles selfmaps of a complete b-metric (X, d; s). These maps are satisfying a contractive condition defined by a class of implicit relations in five variables. This contraction unifies, in one...

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Autor principal: Akkouchi,Mohamed
Lenguaje:English
Publicado: Universidad Católica del Norte, Departamento de Matemáticas 2020
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Acceso en línea:http://www.scielo.cl/scielo.php?script=sci_arttext&pid=S0716-09172020000501251
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spelling oai:scielo:S0716-091720200005012512020-11-16A general common fixed point result for two pairs of maps in b-metric spacesAkkouchi,Mohamed Complete b-metric spaces Implicit relations Common fixed point for four maps Weakly compatible maps Compatible maps Abstract We establish a general common fixed point problem for two pairs {f, S} and {g, T } of weakly compatibles selfmaps of a complete b-metric (X, d; s). These maps are satisfying a contractive condition defined by a class of implicit relations in five variables. This contraction unifies, in one go, several contractive conditions previously used in a set of recent papers dealing with fixed point or common fixed results for selfmaps of b-metric spaces. We provide an illustrative example.info:eu-repo/semantics/openAccessUniversidad Católica del Norte, Departamento de MatemáticasProyecciones (Antofagasta) v.39 n.5 20202020-01-01text/htmlhttp://www.scielo.cl/scielo.php?script=sci_arttext&pid=S0716-09172020000501251en10.22199/issn.0717-6279-2020-05-0076
institution Scielo Chile
collection Scielo Chile
language English
topic Complete b-metric spaces
Implicit relations
Common fixed point for four maps
Weakly compatible maps
Compatible maps
spellingShingle Complete b-metric spaces
Implicit relations
Common fixed point for four maps
Weakly compatible maps
Compatible maps
Akkouchi,Mohamed
A general common fixed point result for two pairs of maps in b-metric spaces
description Abstract We establish a general common fixed point problem for two pairs {f, S} and {g, T } of weakly compatibles selfmaps of a complete b-metric (X, d; s). These maps are satisfying a contractive condition defined by a class of implicit relations in five variables. This contraction unifies, in one go, several contractive conditions previously used in a set of recent papers dealing with fixed point or common fixed results for selfmaps of b-metric spaces. We provide an illustrative example.
author Akkouchi,Mohamed
author_facet Akkouchi,Mohamed
author_sort Akkouchi,Mohamed
title A general common fixed point result for two pairs of maps in b-metric spaces
title_short A general common fixed point result for two pairs of maps in b-metric spaces
title_full A general common fixed point result for two pairs of maps in b-metric spaces
title_fullStr A general common fixed point result for two pairs of maps in b-metric spaces
title_full_unstemmed A general common fixed point result for two pairs of maps in b-metric spaces
title_sort general common fixed point result for two pairs of maps in b-metric spaces
publisher Universidad Católica del Norte, Departamento de Matemáticas
publishDate 2020
url http://www.scielo.cl/scielo.php?script=sci_arttext&pid=S0716-09172020000501251
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