Single and Multi-Valued Ordered-Theoretic Perov Fixed-Point Results for θ -Contraction with Application to Nonlinear System of Matrix Equations

Fahim Ud Din, Salha Alshaikey, Umar Ishtiaq (), Muhammad Din and Salvatore Sessa ()
Additional contact information
Fahim Ud Din: Abdus Salam School of Mathematical Sciences, Governement College University, Lahore 54600, Pakistan
Salha Alshaikey: Mathematics Department, Al-Qunfudah University College, Umm Al-Qura University, Mecca 21421, Saudi Arabia
Umar Ishtiaq: Office of Research, Innovation and Commercialization, University of Management and Technology, Lahore 54770, Pakistan
Muhammad Din: Abdus Salam School of Mathematical Sciences, Governement College University, Lahore 54600, Pakistan
Salvatore Sessa: Dipartimento di Architettura, Università Dinapoli Federico II, Via Toledo 403, 80121 Napoli, Italy

Mathematics, 2024, vol. 12, issue 9, 1-15

Abstract: This paper combines the concept of an arbitrary binary connection with the widely recognized principle of θ -contraction to investigate the innovative features of vector-valued metric spaces. This methodology demonstrates the existence of fixed points for both single- and multi-valued mappings within complete vector-valued metric spaces. Through the utilization of binary relations and θ -contraction, this study advances and refines the Perov-type fixed-point results in the literature. Furthermore, this article furnishes examples to substantiate the validity of the presented results. Additionally, we establish an application for finding the existence of solutions to a system of matrix equations.

Keywords: fixed point; vector-valued metric space; existence; uniqueness; contraction mappings (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2024
References: View references in EconPapers View complete reference list from CitEc
Citations:

Downloads: (external link)
https://www.mdpi.com/2227-7390/12/9/1302/pdf (application/pdf)
https://www.mdpi.com/2227-7390/12/9/1302/ (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:9:p:1302-:d:1382770

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 ().