Theorems for Boyd–Wong Contraction Mappings on Similarity Spaces

Ondrej Rozinek () and Monika Borkovcova
Additional contact information
Ondrej Rozinek: Department of Process Control, University of Pardubice, 532 10 Pardubice, Czech Republic
Monika Borkovcova: Department of Information Technology, University of Pardubice, 532 10 Pardubice, Czech Republic

Mathematics, 2023, vol. 11, issue 20, 1-10

Abstract: In this article, we introduce novel fixed point results for Boyd–Wong-type contraction mappings within the framework of similarity spaces, which have broad practical applications. The development of these results extends the classical theory of Boyd–Wong contractions by exploiting the unique structure and properties of similarity spaces. We provide an in-depth examination of the derived contractions, establishing conditions under which fixed points exist and are unique. In the latter part of the paper, we illustrate the applicability and effectiveness of the proposed results with representative examples.

Keywords: similarity space; Boyd–Wong contraction; similarity contraction (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/2227-7390/11/20/4359/pdf (application/pdf)
https://www.mdpi.com/2227-7390/11/20/4359/ (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:11:y:2023:i:20:p:4359-:d:1263840

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 ().