On Some New Contractive Conditions in Complete Metric Spaces

Jelena Vujaković, Eugen Ljajko, Mirjana Pavlović and Stojan Radenović
Additional contact information
Jelena Vujaković: Department of Mathematics, Faculty of Sciences, University of Priština-Kosovska Mitrovica, Lole Ribara 29, 38 200 Kosovska Mitrovica, Serbia
Eugen Ljajko: Department of Mathematics, Faculty of Sciences, University of Priština-Kosovska Mitrovica, Lole Ribara 29, 38 200 Kosovska Mitrovica, Serbia
Mirjana Pavlović: Department of Mathematics and Informatics, Faculty of Science, University of Kragujevac, Radoja Domanovića 12, 34 000 Kragujevac, Serbia
Stojan Radenović: Faculty of Mechanical Engineering, University of Belgrade, Kraljice Marije 16, 11 120 Beograd, Serbia

Mathematics, 2021, vol. 9, issue 2, 1-10

Abstract: One of the main goals of this paper is to obtain new contractive conditions using the method of a strictly increasing mapping F : ( 0 , + ∞ ) → ( − ∞ , + ∞ ) . According to the recently obtained results, this was possible (Wardowski’s method) only if two more properties ( F 2 ) and ( F 3 ) were used instead of the aforementioned strictly increasing ( F 1 ) . Using only the fact that the function F is strictly increasing, we came to new families of contractive conditions that have not been found in the existing literature so far. Assuming that α ( u , v ) = 1 for every u and v from metric space Ξ , we obtain some contractive conditions that can be found in the research of Rhoades (Trans. Amer. Math. Soc. 1977, 222) and Collaco and Silva (Nonlinear Anal. TMA 1997). Results of the paper significantly improve, complement, unify, generalize and enrich several results known in the current literature. In addition, we give examples with results in line with the ones we obtained.

Keywords: ?-admissible mappings; triangularly ?-admissible mappings; F -contraction; fixed point; contractive condition (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:

Downloads: (external link)
https://www.mdpi.com/2227-7390/9/2/118/pdf (application/pdf)
https://www.mdpi.com/2227-7390/9/2/118/ (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:2:p:118-:d:476179

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 ().