A generalized metric space and related fixed point theorems

被引：89
|
作者：
Jleli, Mohamed [1 ]
Samet, Bessem [1 ]
机构：
[1] King Saud Univ, Coll Sci, Dept Math, Riyadh 11451, Saudi Arabia
来源：
FIXED POINT THEORY AND APPLICATIONS | 2015年
关键词：
generalized metric; b-metric; dislocated metric; modular space; fixed point; partial order; PARTIALLY ORDERED SETS;
D O I：
10.1186/s13663-015-0312-7
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
We introduce a new concept of generalized metric spaces for which we extend some well-known fixed point results including Banach contraction principle, Cirics fixed point theorem, a fixed point result due to Ran and Reurings, and a fixed point result due to Nieto and Rodriguez-Lopez. This new concept of generalized metric spaces recover various topological spaces including standard metric spaces, b-metric spaces, dislocated metric spaces, and modular spaces.
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页数：14
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