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?

引用

页码：2361 / 2368

页数：8

共 26 条

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