Paired contractive mappings and fixed point results

被引：0
|
作者：
Chand, Deep [1 ]
Rohen, Yumnam [1 ,2 ]
机构：
[1] Natl Inst Technol, Dept Math, Imphal 795004, Manipur, India
[2] Manipur Univ, Dept Math, Imphal 795003, Manipur, India
来源：
AIMS MATHEMATICS | 2024年 / 9卷 / 01期
关键词：
metric space; Banach contraction; paired contraction (PC); fixed point; THEOREM;
D O I：
10.3934/math.2024097
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this study, we explored a novel type of contraction, known as paired contraction (PC), to establish fixed points in metric spaces. It has been demonstrated that mappings possessing the PC property are continuous. We have also provided proofs for the existence of fixed points for such mappings with the classical Banach fixed point theorem emerging as a corollary. Furthermore, we presented examples of mappings that do not satisfy the standard contraction condition, but do exhibit the PC property.
引用
收藏
页码：1959 / 1968
页数：10
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