Generalized common fixed point theorems in complex valued metric spaces and applications

Recently, Azam et al. introduced new spaces called the complex valued metric spaces and established the existence of fixed point theorems under the contraction condition. In this article, we extend and improve the condition of contraction of the results of Azam et al. and also apply the main result...

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Bibliographic Details
Published inJournal of inequalities and applications Vol. 2012; no. 1; pp. 1 - 84
Main Authors Sintunavarat, Wutiphol, Kumam, Poom
Format Journal Article
LanguageEnglish
Published Cham Springer International Publishing 13.04.2012
Springer Nature B.V
BioMed Central Ltd
Subjects
Analysis
Applications of Mathematics
Mathematics
Mathematics and Statistics
weakly compatible mappings
common fixed points
fixed points
complex valued metric spaces
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Summary:Recently, Azam et al. introduced new spaces called the complex valued metric spaces and established the existence of fixed point theorems under the contraction condition. In this article, we extend and improve the condition of contraction of the results of Azam et al. and also apply the main result to the unique common solution of system of Urysohn integral equation. Mathematics Subject Classification (2000) : 47H09; 47H10.
Bibliography:SourceType-Scholarly Journals-1
ObjectType-Feature-1
content type line 14
ISSN:1029-242X
1025-5834
1029-242X
DOI:10.1186/1029-242X-2012-84