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.
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页数：11
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