Fixed Points and λ-Weak Contractions

被引：0

作者：

Manolescu, Laura ^{[1
]}

Juratoni, Adina ^{[1
]}

机构：

[1] Politehn Univ Timisoara, Dept Math, Piata Victoriei 2, Timisoara 300006, Romania

来源：

SYMMETRY-BASEL | 2023年 / 15卷 / 07期

关键词：

fixed point; weak contraction; Picard operator;

D O I：

10.3390/sym15071442

中图分类号：

O [数理科学和化学]; P [天文学、地球科学]; Q [生物科学]; N [自然科学总论];

学科分类号：

07 ; 0710 ; 09 ;

摘要：

In this paper, we introduce a new type of contractions on a metric space (X,d) in which the distance d(x,y) is replaced with a function, depending on a parameter ?, that is not symmetric in general. This function generalizes the usual case when ?=1/2 and can take bigger values than m1/2. We call these new types of contractions ?-weak contractions and we provide some of their properties. Moreover, we investigate cases when these contractions are Picard operators.

引用

页数：11

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