A RESULT OF SUZUKI TYPE IN PARTIAL G-METRIC SPACES  

作　　者：Peyman SALIMI Pasquale VETRO 

机构地区：[1]Young Researchers and Elite Club,Rasht Branch,Islamic Azad University [2]Università degli Studi di Palermo,Dipartimento di Matematica e Informatica

出　　处：《Acta Mathematica Scientia》2014年第2期274-284,共11页数学物理学报（B辑英文版）

基　　金：supported by Università degli Studi di Palermo(Local University Project ex 60%)

摘　　要：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.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.

关 键 词：Fixed and common fixed points Suzuki fixed point theorem partial G-metricspaces 

分 类 号：O177.91[理学—数学] U483[理学—基础数学]