Common fixed points of locally contractive mappings in bicomplex valued metric spaces with application to Urysohn integral equation

被引：2

作者：

Mlaiki, Nabil ^{[1
]}

Ahmad, Jamshaid ^{[2
]}

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

Santina, Dania ^{[1
]}

机构：

[1] Prince Sultan Univ, Dept Math & Sci, Riyadh 11586, 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

来源：

AIMS MATHEMATICS | 2023年 / 8卷 / 02期

关键词：

common fixed point; bicomplex valued metric space; closed ball; generalized contractions; Urysohn integral equation; RATIONAL CONTRACTIONS; THEOREMS;

D O I：

10.3934/math.2023194

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

The aim of this article is to obtain common fixed points of locally contractive mappings in the setting of bicomplex valued metric spaces. Our investigations generalize some conventional theorems of literature. Furthermore, we supply a significant example to manifest the authenticity of the proved results. As an application, we solve the solution of the integral equation by using our main result.

引用

页码：3897 / 3912

页数：16

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