Existence of fixed point results in orthogonal extended b-metric spaces with application

被引：4

作者：

Javed, Khalil ^{[1
]}

Naeem, Muhammad ^{[1
]}

Din, Fahim Ud ^{[2
]}

Aziz, Muhammad Rashid ^{[1
]}

Abdeljawad, Thabet ^{[3
,4
]}

机构：

[1] Int Islamic Univ, Dept Math & Stat, Islamabad, Pakistan

[2] Abdus Salam Sch Math Sci, Lahore, Pakistan

[3] Prince Sultan Univ, Dept Math & Sci, Riyadh 11586, Saudi Arabia

[4] China Med Univ, Dept Med Res, Taichung 40402, Taiwan

来源：

AIMS MATHEMATICS | 2022年 / 7卷 / 04期

关键词：

extended b-metric; orthogonal metric; fixed point; unique fixed point;

D O I：

10.3934/math.2022349

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, we investigate the conditions for the existence of fixed-point for generalized contractions in the orthogonal extended b-metric spaces endowed with an arbitrary binary relation. We establish some unique fixed-point theorems. The obtained results generalize and improve many earlier fixed point results. We also provide some nontrivial examples to corroborate our results. As an application, we investigate solution for the system of boundary value problem.

引用

页码：6282 / 6293

页数：12

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