广义 b 计量空间中非线性积分方程的求解方法

IF 1.3 4区数学 Q1 MATHEMATICS

Journal of Mathematics Pub Date : 2024-01-23 DOI:10.1155/2024/8847058

Mohammed M. M. Jaradat, Abeeda Ahmad, Saif Ur Rehman, Nabaa Muhammad Diaa, Shamoona Jabeen, Muhammad Imran Haider, Iqra Shamas, Rawan A. Shlaka

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引用次数: 0

摘要

在本文中，我们研究了广义 b 度量空间上三个自映射的一些广义收缩条件，以证明一些唯一的公共定点结果的存在性。为了统一我们的结果，我们为三个自映射建立了一个辅助示例，以证明上述空间中广义收缩的共定点的唯一性。此外，我们还提出了非线性积分方程的辅助应用，以验证我们的工作。本文提出的概念将在广义度量空间定点理论及其应用中发挥重要作用。

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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A Solution Approach to Nonlinear Integral Equations in Generalized b-Metric Spaces

In this paper, we study some generalized contraction conditions for three self-mappings on generalized b-metric spaces to prove the existence of some unique common fixed-point results. To unify our results, we establish a supportive example for three self-mappings to show the uniqueness of a common fixed point for a generalized contraction in the said space. In addition, we present a supportive application of nonlinear integral equations for the validation of our work. The concept presented in this paper will play an important role in the theory of fixed points in the context of generalized metric spaces with applications.

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来源期刊

Journal of Mathematics Mathematics-General Mathematics

CiteScore

2.50

自引率

14.30%

发文量

期刊介绍： Journal of Mathematics is a broad scope journal that publishes original research articles as well as review articles on all aspects of both pure and applied mathematics. As well as original research, Journal of Mathematics also publishes focused review articles that assess the state of the art, and identify upcoming challenges and promising solutions for the community.