Fixed Point Results via Real-Valued Function Satisfying Integral Type Rational Contraction-Reference-Cited by-同舟云学术

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

Published:2023-01-05 Issue: Volume:2023 Page:1-6
ISSN:1687-0409
Container-title:Abstract and Applied Analysis
language:en
Short-container-title:Abstract and Applied Analysis

Author:

Mani Naveen¹^ORCID,Sharma Amit²^ORCID,Shukla Rahul³^ORCID

Affiliation:

1. Department of Mathematics, Chandigarh University, Punjab, India

2. Department of Mathematics, Amity University Haryana, Gurugram, India

3. Department of Mathematical Sciences and Computing, Walter Sisulu University, Mthatha 5117, South Africa

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.

Publisher

Hindawi Limited

Subject

Applied Mathematics,Analysis

Link

http://downloads.hindawi.com/journals/aaa/2023/2592507.pdf

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