Banach Fixed Point Theorems in Generalized Metric Space Endowed with the Hadamard Product

被引：4

作者：

Omran, Saleh ^{[1
]}

Masmali, Ibtisam ^{[2
]}

Alhamzi, Ghaliah ^{[3
]}

机构：

[1] South Valley Univ, Dept Math, Qena 83523, Egypt

[2] Jazan Univ, Coll Sci, Dept Math, Jazan 45142, Saudi Arabia

[3] Imam Mohammad Ibn Saud Islamic Univ IMSIU, Coll Sci, Dept Math & Stat, Riyadh 11564, Saudi Arabia

来源：

SYMMETRY-BASEL | 2023年 / 15卷 / 07期

关键词：

Banach fixed point theorems; generalized metric space; Hadamard product;

D O I：

10.3390/sym15071325

中图分类号：

O [数理科学和化学]; P [天文学、地球科学]; Q [生物科学]; N [自然科学总论];

学科分类号：

07 ; 0710 ; 09 ;

摘要：

In this paper, we prove some Banach fixed point theorems in generalized metric space where the contractive conditions are endowed with the Hadamard product of real symmetric positive definite matrices. Since the condition that a matrix A converges to zero is not needed, this produces stronger results than those of Perov. As an application of our results, we study the existence and uniqueness of the solution for a system of matrix equations.

引用

页数：13

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