A Common Fixed Point Theorem in <inline-formula><graphic file="1687-1812-2007-027906-i1.gif"/></inline-formula>-Metric Spaces

<p/> <p>We give some new definitions of <inline-formula><graphic file="1687-1812-2007-027906-i2.gif"/></inline-formula>-metric spaces and we prove a common fixed point theorem for a class of mappings under the condition of weakly commuting mappings in complete...

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Bibliographic Details
Main Authors: Shobe Nabi, Zhou Haiyun, Sedghi Shaban
Format: Article
Language:English
Published: SpringerOpen 2007-01-01
Series:Fixed Point Theory and Applications
Online Access:http://www.fixedpointtheoryandapplications.com/content/2007/027906
Description
Summary:<p/> <p>We give some new definitions of <inline-formula><graphic file="1687-1812-2007-027906-i2.gif"/></inline-formula>-metric spaces and we prove a common fixed point theorem for a class of mappings under the condition of weakly commuting mappings in complete <inline-formula><graphic file="1687-1812-2007-027906-i3.gif"/></inline-formula>-metric spaces. We get some improved versions of several fixed point theorems in complete <inline-formula><graphic file="1687-1812-2007-027906-i4.gif"/></inline-formula>-metric spaces.</p>
ISSN:1687-1820
1687-1812