A new generalization of metric spaces: rectangular M-metric spaces

被引:0
作者
Nihal Yılmaz Özgür
Nabil Mlaiki
Nihal Taş
Nizar Souayah
机构
[1] Balikesir University,Department of Mathematics
[2] Prince Sultan University,Department of Mathematical Sciences
[3] King Saud University,Department of Natural Sciences, Community College AL
[4] ESSECT,Riyadh
[5] University of Tunis,undefined
来源
Mathematical Sciences | 2018年 / 12卷
关键词
Rectangular ; -metric space; Fixed point; Primary 54E35; Secondary 54E40; 54H25; 47H10;
D O I
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中图分类号
学科分类号
摘要
In this paper, we introduce the concept of the rectangular M-metric spaces, along with its topology and we prove some fixed-point theorems under different contraction principles with various techniques. The obtained results generalize some classical fixed-point results such as the Banach’s contraction principle, the Kannan’s fixed-point theorem and the Chatterjea’s fixed-point theorem. Also we give an application to the fixed-circle problem.
引用
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页码:223 / 233
页数:10
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