ON BANACH'S FIXED POINT THEOREM IN PERTURBED METRIC SPACES

被引：5

作者：

Jleli, Mohamed ^{[1
]}

Samet, Bessem ^{[1
]}

机构：

[1] King Saud Univ, Coll Sci, Dept Math, POB 2455, Riyadh 11451, Saudi Arabia

来源：

JOURNAL OF APPLIED ANALYSIS AND COMPUTATION | 2025年 / 15卷 / 02期

关键词：

Perturbed metric space; perturbed mapping; exact metric; fixed point; EQUATIONS;

D O I：

10.11948/20240242

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

The measurement of the distance between two points is always tainted by errors. The causes of such errors are varied. For instance, the imperfection in the adjustment of instruments affects the accuracy of measurements. These errors are generally "small", however their accumulations can become significant. Motivated by this fact, in this paper, we introduce the notion of perturbed metric spaces and establish an interesting generalization of Banach's fixed point theorem in such spaces.

引用

页码：993 / 1001

页数：9

共 23 条

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[2]

Banach S., 1922, Fund. Math, V3, P133, DOI DOI 10.4064/FM-3-1-133-181

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