Fixed Point Results for Hybrid Rational Contractions under a New Compatible Condition with an Application

Xiaolan Liu, Mi Zhou (), Arslan Hojat Ansari, Naeem Saleem and Mukesh Kumar Jain
Additional contact information
Xiaolan Liu: College of Mathematics and Statistics, Sichuan University of Science and Engineering, Zigong 643000, China
Mi Zhou: School of Science and Techology, University of Sanya, Sanya 572022, China
Arslan Hojat Ansari: Department of Mathematics, Karaj Branch, Islamic Azad University, Karaj 6915136111, Iran
Naeem Saleem: Department of Mathematics and Applied Mathematics, Sefako Makgatho Health Sciences University, Ga-Rankuwa, Pretoria 0204, South Africa
Mukesh Kumar Jain: Jawahar Navodaya Vidyalaya, Udalguri 784509, India

Mathematics, 2023, vol. 12, issue 1, 1-16

Abstract: In this scholarly discourse, we present proof of the existence of unique fixed points in b -metric spaces for hybrid rational contractions. Moreover, we establish a common fixed point theorem for four self-mappings, assuming S -compatibility for two pairs of self-mappings within the framework of b -metric spaces. As a practical demonstration of the aforementioned results, we apply them to a type of integral equation and derive a theorem that guarantees the existence of solutions.

Keywords: fixed/common fixed point; rational contraction; b -metric space; C -class function; S -compatibility (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2023
References: View references in EconPapers View complete reference list from CitEc
Citations:

Downloads: (external link)
https://www.mdpi.com/2227-7390/12/1/121/pdf (application/pdf)
https://www.mdpi.com/2227-7390/12/1/121/ (text/html)

Related works:
This item may be available elsewhere in EconPapers: Search for items with the same title.

Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text

Persistent link: https://EconPapers.repec.org/RePEc:gam:jmathe:v:12:y:2023:i:1:p:121-:d:1310289

Access Statistics for this article

Mathematics is currently edited by Ms. Emma He

More articles in Mathematics from MDPI
Bibliographic data for series maintained by MDPI Indexing Manager ().