Rational interpolative contractions with applications in extended $ b $-metric spaces-Reference-Cited by-同舟云学术

Rational interpolative contractions with applications in extended $ b $-metric spaces

Published:2024 Issue:6 Volume:9 Page:14043-14061
ISSN:2473-6988
Container-title:AIMS Mathematics
language:
Short-container-title:MATH

Author:

Sarwar Muhammad¹²,Fawad Muhammad¹,Rashid Muhammad¹,Mitrović Zoran D.³,Zhang Qian-Qian⁴,Mlaiki Nabil²

Affiliation:

1. Department of Mathematics, University of Malakand, Chakdara Dir(L) 18000, Khyber Pakhtunkhwa, Pakistan; sarwar@uom.edu.pk, muhmmadfawad123@gmail.com, mrashidghani26@gmail.com

2. Department of Mathematics and Sciences, Prince Sultan University, Riyadh 11586, Saudi Arabia; nmlaiki@psu.edu.sa

3. Faculty of Electrical Engineering, University of Banja Luka, Patre 5, Banja Luka 78000, Bosnia and Herzegovina; zoran.mitrovic@etf.unibl.org

4. College of Science, Northwest A&F University, Yangling 712100, China; zhangqq2019@nwafu.edu.cn

Abstract

<abstract><p>In this manuscript, utilizing interpolative contractions with fractional forms, some unique fixed-point results were studied in the context of extended $ b $-metric spaces. For the validity of the presented results some examples are given. In the last section an existence theorem is provided to study the existence of a solution for the Fredholm integral equation.</p></abstract>

Publisher

American Institute of Mathematical Sciences (AIMS)

Reference23 articles.

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