Ordered Vectorial Quasi and Almost Contractions on Ordered Vector Metric Spaces

Çetin Cemal Özeken and Cüneyt Çevik
Additional contact information
Çetin Cemal Özeken: Department of Mathematics, Faculty of Science, Gazi University, Teknikokullar, Ankara 06500, Turkey
Cüneyt Çevik: Department of Mathematics, Faculty of Science, Gazi University, Teknikokullar, Ankara 06500, Turkey

Mathematics, 2021, vol. 9, issue 19, 1-8

Abstract: In this paper, we define ordered vectorial quasi contractions. We show that ordered quasi contractions are ordered vectorial quasi contractions, but the reverse is not true. We also define ordered vectorial almost contractions and present fixed point theorems for this type of contractions. Hence, we disclose many results in the literature. With the help of examples, we illustrate the relationship between these two types of contractions and some others in the literature.

Keywords: fixed point; Riesz space; partial ordered metric spaces; vector metric space; almost contractions; ordered quasi contractions (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2021
References: View complete reference list from CitEc
Citations: View citations in EconPapers (1)

Downloads: (external link)
https://www.mdpi.com/2227-7390/9/19/2443/pdf (application/pdf)
https://www.mdpi.com/2227-7390/9/19/2443/ (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:9:y:2021:i:19:p:2443-:d:648339

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 ().