A RESULT OF SUZUKI TYPE IN PARTIAL G-METRIC SPACES

Recently, Suzuki [T. Suzuki characterizes metric completeness, Proc. A generalized Banach contractlon principle that Amer. Math. Soc. 136 （2008）, 1861-1869] proved a fixed point theorem that is a generalization of the Banach contraction principle and char- acterizes the metric completeness. Paesano...

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Bibliographic Details
Published inActa mathematica scientia Vol. 34; no. 2; pp. 274 - 284
Main Authors SALIMI, Peyman, VETRO, Pasquale
Format Journal Article
LanguageEnglish
Published Elsevier Ltd 01.03.2014
Young Researchers and Elite Club, Rasht Branch, Islamic Azad University, Rasht, Iran%Universit`a degli Studi di Palermo, Dipartimento di Matematica e Informatica, Via Archirafi, 34, 90123 Palermo, Italy
Subjects
47H10
54H25
Banach
Fixed and common fixed points
partial G-metric spaces
Suzuki fixed point theorem
不动点定理
公共不动点
半序度量空间
压缩原理
空间特点
类型
铃木
Fixed and common fixed points
47H10
Suzuki fixed point theorem
partial G-metric spaces
54H25
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Summary:Recently, Suzuki [T. Suzuki characterizes metric completeness, Proc. A generalized Banach contractlon principle that Amer. Math. Soc. 136 （2008）, 1861-1869] proved a fixed point theorem that is a generalization of the Banach contraction principle and char- acterizes the metric completeness. Paesano and Vetro [D. Paesano and P. Vetro, Suzuki＇s type characterizations of completeness for partial metric spaces and fixed points for partially ordered metric spaces, Topology Appl., 159 （2012）, 911-920] proved an analogous fixed point result for a self-mapping on a partial metric space that characterizes the partial metric O- completeness. In this article, we introduce the notion of partial G-metric spaces and prove a result of Suzuki type in the setting of partial G-metric spaces. We deduce also a result of common fixed point.
Bibliography:Fixed and common fixed points; Suzuki fixed point theorem; partial G-metricspaces
42-1227/O
Recently, Suzuki [T. Suzuki characterizes metric completeness, Proc. A generalized Banach contractlon principle that Amer. Math. Soc. 136 （2008）, 1861-1869] proved a fixed point theorem that is a generalization of the Banach contraction principle and char- acterizes the metric completeness. Paesano and Vetro [D. Paesano and P. Vetro, Suzuki＇s type characterizations of completeness for partial metric spaces and fixed points for partially ordered metric spaces, Topology Appl., 159 （2012）, 911-920] proved an analogous fixed point result for a self-mapping on a partial metric space that characterizes the partial metric O- completeness. In this article, we introduce the notion of partial G-metric spaces and prove a result of Suzuki type in the setting of partial G-metric spaces. We deduce also a result of common fixed point.
ISSN:0252-9602
1572-9087
DOI:10.1016/S0252-9602(14)60004-7