Fixed Point Results via Real-Valued Function Satisfying Integral Type Rational Contraction

Q3 Mathematics

Abstract and Applied Analysis Pub Date : 2023-01-05 DOI:10.1155/2023/2592507

Naveen Mani, Amit Sharma, Rahul Shukla

引用次数: 4

Abstract

In this article, we mainly discuss the existence and uniqueness of fixed point satisfying integral type contractions in complete metric spaces via rational expression using real-valued functions. We improve and unify many widely known results from the literature. Among these, the work of Rakotch (1962), Branciari (2002), and Liu et al. (2013) is extended. Finally, we conclude with an example presented graphically in favour of our work.

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满足积分型有理收缩的实值函数不动点结果

本文主要利用实值函数的有理表达式，讨论了完备度量空间中满足整型压缩的不动点的存在唯一性。我们改进和统一了文献中许多广为人知的结果。其中，扩展了Rakotch(1962)、Branciari(2002)和Liu et al.(2013)的工作。最后，我们用一个图形化的例子来说明我们的工作。

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.