Relational Strict Almost Contractions Employing Test Functions and an Application to Nonlinear Integral Equations

Doaa Filali () and Faizan Ahmad Khan ()
Additional contact information
Doaa Filali: Department of Mathematical Science, College of Science, Princess Nourah bint Abdulrahman University, Riyadh 11671, Saudi Arabia
Faizan Ahmad Khan: Department of Mathematics, Faculty of Science, University of Tabuk, Tabuk 71491, Saudi Arabia

Mathematics, 2024, vol. 12, issue 20, 1-10

Abstract: The present study deals with some fixed-point outcomes under a nonlinear formulation of strict almost contractions in a metric space endued with an arbitrary relation. The outcomes established herein enhance and develop various existing outcomes. To convince you of the infallibility of our outcomes, a few examples are presented. We apply our findings to investigate the validity of the unique solution of a nonlinear integral problem.

Keywords: binary relation; fixed point theorem; almost contractions; integral equations (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2024
References: View complete reference list from CitEc
Citations:

Downloads: (external link)
https://www.mdpi.com/2227-7390/12/20/3262/pdf (application/pdf)
https://www.mdpi.com/2227-7390/12/20/3262/ (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:2024:i:20:p:3262-:d:1501064

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 ().