FIXED POINT RESULTS ON COMPLETE G-METRIC SPACES

被引：98

作者：

Mustafa, Zead ^{[1
]}

Khandagji, Mona ^{[1
]}

Shatanawi, Wasfi ^{[1
]}

机构：

[1] Hashemite Univ, Dept Math, Zarqa 13115, Jordan

来源：

STUDIA SCIENTIARUM MATHEMATICARUM HUNGARICA | 2011年 / 48卷 / 03期

关键词：

Metric space; generalized metric space; D-metric space; 2-metric space;

D O I：

10.1556/SScMath.48.2011.3.1170

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this paper several fixed point theorems for a class of mappings defined on a complete G-metric space are proved. In the same time we show that if the G-metric space (X, G) is symmetric then the existence and uniqueness of these fixed point results follows from the Hardy Rogers theorem in the induced usual metric space (X, d(G)). We also prove fixed point results for mapping on a G-metric space (X, G) by using the Hardy Rogers theorem where (X, G) need not be symmetric.

引用

页码：304 / 319

页数：16

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