On common fixed point results in bicomplex valued metric spaces with application

被引：4

作者：

Tassaddiq, Asifa ^{[1
]}

Ahmad, Jamshaid ^{[2
]}

Al-Mazrooei, Abdullah Eqal ^{[3
]}

Lateef, Durdana ^{[4
]}

Lakhani, Farha ^{[5
]}

机构：

[1] Majmaah Univ, Coll Comp & Informat Sci, Dept Basic Sci & Humanities, Al Majmaah 11952, Saudi Arabia

[2] Univ Jeddah, Dept Math, POB 80327, Jeddah 21589, Saudi Arabia

[3] King Abdulaziz Univ, Fac Sci, Dept Math, POB 80203, Jeddah 21589, Saudi Arabia

[4] Taibah Univ, Coll Sci, Dept Math, Madina 41411, Saudi Arabia

[5] Univ Leeds, Sch Comp, Leeds, England

来源：

AIMS MATHEMATICS | 2023年 / 8卷 / 03期

关键词：

bicomplex valued metric space; common fixed point; control functions; rational; expressions; MAPPINGS; THEOREMS;

D O I：

10.3934/math.2023278

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

Metric fixed-point theory has become an essential tool in computer science, communication engineering and complex systems to validate the processes and algorithms by using functional equations and iterative procedures. The aim of this article is to obtain common fixed point results in a bicomplex valued metric space for rational contractions involving control functions of two variables. Our theorems generalize some famous results from literature. We supply an example to show the originality of our main result. As an application, we develop common fixed point results for rational contractions involving control functions of one variable in the context of bicomplex valued metric space.

引用

收藏

页码：5522 / 5539

页数：18

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