The weakest contractive conditions for Edelstein's mappings to have a fixed point in complete metric spaces

被引：5
|
作者：
Suzuki, Tomonari [1 ]
机构：
[1] Kyushu Inst Technol, Dept Basic Sci, Fac Engn, Kitakyushu, Fukuoka 8048550, Japan
来源：
JOURNAL OF FIXED POINT THEORY AND APPLICATIONS | 2017年 / 19卷 / 04期
基金：
日本学术振兴会;
关键词：
Contraction; CJM contraction; fixed point; PRINCIPLE; THEOREMS;
D O I：
10.1007/s11784-017-0430-4
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper, we give the answer to the following problem: Let (X, d) be a complete metric space and let T be a mapping on X satisfying d( Tx, Ty) < d( x, y) for any x, y is an element of X with x not equal y. Then what are the weakest additional assumptions to imply the same conclusion as in the Banach contraction principle?
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页码：2361 / 2368
页数：8
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