Partial b-Metric Spaces and Fixed Point Theorems

被引:142
作者
Shukla, Satish [1 ]
机构
[1] Shri Vaishnav Inst Technol & Sci, Dept Appl Math, Sanwer Rd, Indore 453331, Madhya Pradesh, India
关键词
Partial b-metric space; b-metric space; fixed point; contraction;
D O I
10.1007/s00009-013-0327-4
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
The purpose of this paper is to introduce the concept of partial b-metric spaces as a generalization of partial metric and b-metric spaces. An analog to Banach contraction principle, as well as a Kannan type fixed point result is proved in such spaces. Some examples are given which illustrate the results.
引用
收藏
页码:703 / 711
页数:9
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