Single and Multi-Valued Ordered-Theoretic Perov Fixed-Point Results for θ-Contraction with Application to Nonlinear System of Matrix Equations

被引：5

作者：

Din, Fahim Ud ^{[1
]}

Alshaikey, Salha ^{[2
]}

Ishtiaq, Umar ^{[3
]}

Din, Muhammad ^{[1
]}

Sessa, Salvatore ^{[4
]}

机构：

[1] Governement Coll Univ, Abdus Salam Sch Math Sci, Lahore 54600, Pakistan

[2] Umm Al Qura Univ, Al Qunfudah Univ Coll, Math Dept, Mecca 21421, Saudi Arabia

[3] Univ Management & Technol, Off Res Innovat & Commercializat, Lahore 54770, Pakistan

[4] Univ Dinapoli Federico II, Dipartimento Architettura, Via Toledo 403, I-80121 Naples, Italy

来源：

MATHEMATICS | 2024年 / 12卷 / 09期

关键词：

fixed point; vector-valued metric space; existence; uniqueness; contraction mappings;

D O I：

10.3390/math12091302

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

This paper combines the concept of an arbitrary binary connection with the widely recognized principle of theta-contraction to investigate the innovative features of vector-valued metric spaces. This methodology demonstrates the existence of fixed points for both single- and multi-valued mappings within complete vector-valued metric spaces. Through the utilization of binary relations and theta-contraction, this study advances and refines the Perov-type fixed-point results in the literature. Furthermore, this article furnishes examples to substantiate the validity of the presented results. Additionally, we establish an application for finding the existence of solutions to a system of matrix equations.

引用

页数：15

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