A result of suzuki type in partial G-metric spaces

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• 作者：Peyman SALIMI^a ; ^{salimipeyman@gmail.com" class="auth_mail} ; Pasquale VETRO^b ; ^{vetro@math.unipa.it" class="auth_mail}
• 关键词：Fixed and common fixed points ; Suzuki fixed point theorem ; partial G-metric spaces
• 刊名：Acta Mathematica Scientia
• 出版年：March, 2014
• 年：2014
• 卷：34
• 期：2
• 页码：274-284
• 全文大小：249 K

文摘

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 characterizes 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.