Suzuki–Ćirić-Type Nonlinear Contractions Employing a Locally ζ -Transitive Binary Relation with Applications to Boundary Value Problems

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, University of Tabuk, Tabuk 71491, Saudi Arabia

Mathematics, 2024, vol. 12, issue 13, 1-12

Abstract: This article is devoted to enhancing a class of generalized Suzuki-type nonlinear contractions following Pant to a class of Suzuki–Ćirić-type nonlinear contractions via comparison functions via a locally ζ -transitive relation and implemented the same to ascertain certain fixed-point results. The outcomes presented herewith unify and generalize a few existing findings. An illustrative examples is offered to explain our findings. Our outcomes assist us in figuring out the unique solution to a boundary value problem.

Keywords: nonlinear contractions; comparison functions; ?-comparative elements; fixed points; upper and lower solutions (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/2227-7390/12/13/2058/pdf (application/pdf)
https://www.mdpi.com/2227-7390/12/13/2058/ (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:13:p:2058-:d:1426607

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 ().