A Common Fixed Point Theorem for Generalised F -Kannan Mapping in Metric Space with Applications

Q3 Mathematics

Abstract and Applied Analysis Pub Date : 2021-04-16 DOI:10.1155/2021/6619877

Lucas Wangwe, Santosh Kumar

引用次数: 5

Abstract

This paper is aimed at proving a common fixed point theorem for - Kannan mappings in metric spaces with an application to integral equations. The main result of the paper will extend and generalise the recent existing fixed point results in the literature. We also provided illustrative examples and some applications to integral equation, nonlinear fractional differential equation, and ordinary differential equation for damped forced oscillations to support the results.

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度量空间中广义F -Kannan映射的公共不动点定理及其应用

本文旨在证明度量空间中Kannan映射的一个公共不动点定理，并将其应用于积分方程。本文的主要结果将对文献中最近存在的不动点结果进行扩展和概括。我们还提供了阻尼强迫振荡的积分方程、非线性分式微分方程和常微分方程的示例和一些应用来支持结果。

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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来源期刊

Abstract and Applied Analysis 数学-数学

CiteScore

2.30

自引率

0.00%

发文量

审稿时长

3.5 months

期刊介绍： Abstract and Applied Analysis is a mathematical journal devoted exclusively to the publication of high-quality research papers in the fields of abstract and applied analysis. Emphasis is placed on important developments in classical analysis, linear and nonlinear functional analysis, ordinary and partial differential equations, optimization theory, and control theory. Abstract and Applied Analysis supports the publication of original material involving the complete solution of significant problems in the above disciplines. Abstract and Applied Analysis also encourages the publication of timely and thorough survey articles on current trends in the theory and applications of analysis.