A Fixed Point Theorem of Reich in G-Metric Spaces

In this paper we prove some fixed point results for mapping satisfying sufficient contractive conditions on a complete G-metric space, also we showed that if the G-metric space <img border=0 width=46 height=25 src="http:/fbpe/img/cubo/v12n1/img39.jpg">is symmetric, then the existence...

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Auteurs principaux:	Mustafa,Zead, Obiedat,Hamed
Langue:	English
Publié:	Universidad de La Frontera. Departamento de Matemática y Estadística. 2010
Sujets:	Metric space generalized metric space D-metric space 2-metric space
Accès en ligne:	http://www.scielo.cl/scielo.php?script=sci_arttext&pid=S0719-06462010000100008
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spelling	oai:scielo:S0719-064620100001000082018-10-08A Fixed Point Theorem of Reich in G-Metric SpacesMustafa,ZeadObiedat,Hamed Metric space generalized metric space D-metric space 2-metric space In this paper we prove some fixed point results for mapping satisfying sufficient contractive conditions on a complete G-metric space, also we showed that if the G-metric space <img border=0 width=46 height=25 src="http:/fbpe/img/cubo/v12n1/img39.jpg">is symmetric, then the existence and uniqueness of these fixed point results follows from Reich theorems in usual metric space <img border=0 width=53 height=25 src="http:/fbpe/img/cubo/v12n1/img38.jpg">, where <img border=0 width=53 height=25 src="http:/fbpe/img/cubo/v12n1/img38.jpg">the metric induced by the G-metric space <img border=0 width=46 height=25 src="http:/fbpe/img/cubo/v12n1/img39.jpg">.info:eu-repo/semantics/openAccessUniversidad de La Frontera. Departamento de Matemática y Estadística.Cubo (Temuco) v.12 n.1 20102010-01-01text/htmlhttp://www.scielo.cl/scielo.php?script=sci_arttext&pid=S0719-06462010000100008en10.4067/S0719-06462010000100008
institution	Scielo Chile
collection	Scielo Chile
language	English
topic	Metric space generalized metric space D-metric space 2-metric space
spellingShingle	Metric space generalized metric space D-metric space 2-metric space Mustafa,Zead Obiedat,Hamed A Fixed Point Theorem of Reich in G-Metric Spaces
description	In this paper we prove some fixed point results for mapping satisfying sufficient contractive conditions on a complete G-metric space, also we showed that if the G-metric space <img border=0 width=46 height=25 src="http:/fbpe/img/cubo/v12n1/img39.jpg">is symmetric, then the existence and uniqueness of these fixed point results follows from Reich theorems in usual metric space <img border=0 width=53 height=25 src="http:/fbpe/img/cubo/v12n1/img38.jpg">, where <img border=0 width=53 height=25 src="http:/fbpe/img/cubo/v12n1/img38.jpg">the metric induced by the G-metric space <img border=0 width=46 height=25 src="http:/fbpe/img/cubo/v12n1/img39.jpg">.
author	Mustafa,Zead Obiedat,Hamed
author_facet	Mustafa,Zead Obiedat,Hamed
author_sort	Mustafa,Zead
title	A Fixed Point Theorem of Reich in G-Metric Spaces
title_short	A Fixed Point Theorem of Reich in G-Metric Spaces
title_full	A Fixed Point Theorem of Reich in G-Metric Spaces
title_fullStr	A Fixed Point Theorem of Reich in G-Metric Spaces
title_full_unstemmed	A Fixed Point Theorem of Reich in G-Metric Spaces
title_sort	fixed point theorem of reich in g-metric spaces
publisher	Universidad de La Frontera. Departamento de Matemática y Estadística.
publishDate	2010
url	http://www.scielo.cl/scielo.php?script=sci_arttext&pid=S0719-06462010000100008
work_keys_str_mv	AT mustafazead afixedpointtheoremofreichingmetricspaces AT obiedathamed afixedpointtheoremofreichingmetricspaces AT mustafazead fixedpointtheoremofreichingmetricspaces AT obiedathamed fixedpointtheoremofreichingmetricspaces
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A Fixed Point Theorem of Reich in G-Metric Spaces

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