A RESULT OF SUZUKI TYPE IN PARTIAL G-METRIC SPACES

doi:10.1016/S0252-9602(14)60004-7

数学物理学报(英文版) ›› 2014, Vol. 34 ›› Issue (2): 274-284.doi: 10.1016/S0252-9602(14)60004-7

A RESULT OF SUZUKI TYPE IN PARTIAL G-METRIC SPACES

Peyman SALIMI|Pasquale VETRO

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

收稿日期:2012-05-28 修回日期:2013-07-23 出版日期:2014-03-20 发布日期:2014-03-20
基金资助:
The second author is supported by Universit`a degli Studi di Palermo (Local University Project ex 60%).

A RESULT OF SUZUKI TYPE IN PARTIAL G-METRIC SPACES

Peyman SALIMI|Pasquale VETRO

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

Received:2012-05-28 Revised:2013-07-23 Online:2014-03-20 Published:2014-03-20
Supported by:
The second author is supported by Universit`a degli Studi di Palermo (Local University Project ex 60%).

摘要/Abstract

摘要：

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.

关键词: Fixed and common fixed points, Suzuki fixed point theorem, partial G-metric spaces

Abstract:

Key words: Fixed and common fixed points, Suzuki fixed point theorem, partial G-metric spaces

中图分类号:

47H10

Peyman SALIMI, Pasquale VETRO. A RESULT OF SUZUKI TYPE IN PARTIAL G-METRIC SPACES[J]. 数学物理学报(英文版), 2014, 34(2): 274-284.

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.

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A RESULT OF SUZUKI TYPE IN PARTIAL G-METRIC SPACES

A RESULT OF SUZUKI TYPE IN PARTIAL G-METRIC SPACES

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