Acta mathematica scientia, Series B >
A RESULT OF SUZUKI TYPE IN PARTIAL G-METRIC SPACES
Received date: 2012-05-28
Revised date: 2013-07-23
Online published: 2014-03-20
Supported by
The second author is supported by Universit`a degli Studi di Palermo (Local University Project ex 60%).
Recently, Suzuki [T. Suzuki, A generalized Banach contraction principle that characterizes metric completeness, Proc. 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 0-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.
Peyman SALIMI , Pasquale VETRO . A RESULT OF SUZUKI TYPE IN PARTIAL G-METRIC SPACES[J]. Acta mathematica scientia, Series B, 2014 , 34(2) : 274 -284 . DOI: 10.1016/S0252-9602(14)60004-7
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