New Generalized Contractions by Employing Two Control Functions and Coupled Fixed-Point Theorems with Applications

Hasanen A. Hammad () and Mohra Zayed ()
Additional contact information
Hasanen A. Hammad: Department of Mathematics, Unaizah College of Sciences and Arts, Qassim University, Buraydah 52571, Saudi Arabia
Mohra Zayed: Mathematics Department, College of Science, King Khalid University, Abha 61413, Saudi Arabia

Mathematics, 2022, vol. 10, issue 17, 1-18

Abstract: In this study, we obtain certain coupled fixed-point results for generalized contractions involving two control functions in a controlled metric space. Additionally, we establish some coupled fixed-point results in graph-enabled controlled metric spaces. Many well-known results from the literature will be expanded upon and modified by our results. In order to demonstrate the validity of the stated results, we also offer some examples. Finally, we apply the theoretical results to obtain the solution to a system of integral equations.

Keywords: coupled fixed-point technique; control function; contraction mapping; controlled metric space; directed graph; integral equation (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2022
References: View references in EconPapers View complete reference list from CitEc
Citations:

Downloads: (external link)
https://www.mdpi.com/2227-7390/10/17/3208/pdf (application/pdf)
https://www.mdpi.com/2227-7390/10/17/3208/ (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:10:y:2022:i:17:p:3208-:d:907152

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 ().