$$b$$ -度量空间中积分型收缩映射的共用定点定理

IF 0.6 4区数学 Q3 MATHEMATICS

Mathematical Notes Pub Date : 2024-07-05 DOI:10.1134/s0001434624030258

Hongyan Guan, Jinze Gou

引用次数: 0

摘要

摘要本文首次提出了在$b$度量空间中的积分型定点问题。我们研究了积分型收缩映射的公共定点存在性和唯一性的充分条件。我们还举了两个例子来支持我们的结果。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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Common Fixed Point Theorems for Contractive Mappings of Integral Type in $$b$$ -Metric Spaces

Abstract

This paper is the first to introduce a fixed point problem of integral type in a $b$-metric space. We study sufficient conditions for the existence and uniqueness of a common fixed point of contractive mappings of integral type. We also give two examples to support our results.

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来源期刊

Mathematical Notes 数学-数学

CiteScore

0.90

自引率

16.70%

发文量

179

审稿时长

24 months

期刊介绍： Mathematical Notes is a journal that publishes research papers and review articles in modern algebra, geometry and number theory, functional analysis, logic, set and measure theory, topology, probability and stochastics, differential and noncommutative geometry, operator and group theory, asymptotic and approximation methods, mathematical finance, linear and nonlinear equations, ergodic and spectral theory, operator algebras, and other related theoretical fields. It also presents rigorous results in mathematical physics.