New Results on F-Contractions in Complete Metric Spaces

Vujaković, Jelena; Kontrec, Nataša; Tošić, Marina; Fabiano, Nicola; Radenović, Stojan

doi:10.3390/math10010012

2022

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Authors

Vujaković, Jelena

Kontrec, Nataša

Tošić, Marina

Fabiano, Nicola

Radenović, Stojan

Article (Published version)

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Abstract

The main purpose of this paper is to improve, generalize, unify, extend and enrich the recent results established by Dung and Hang (2015), Piri and Kumam (2014, 2016), and Singh et al. (2018). In our proofs, we only use the property (F1) of Wardowski’s F-contraction, while the many authors in their papers still use all tree properties of F-contraction as well as two new properties introduced by Piri and Kumam. Our approach in this paper indicates that for most results with F-contraction, property (F1) is sufficient. It is interesting to investigate whether (F1) is sufficient in the case of multi-valued mappings.

Keywords:

F-contraction / Ćirić’s quasi-contraction / convex contraction / fixed point / generalized F-contraction / triangular α-admissible mapping / α-admissible mapping

Source:
Mathematics, 2022, 10, 1, 12-

Funding / projects:

Faculty of Sciences and Mathematics, University of Priština in Kosovska Mitrovica, Serbia [IJ-0203]

DOI: 10.3390/math10010012

ISSN: 2227-7390

WoS: 000742529600001

TY  - JOUR
AU  - Vujaković, Jelena
AU  - Kontrec, Nataša
AU  - Tošić, Marina
AU  - Fabiano, Nicola
AU  - Radenović, Stojan
PY  - 2022
UR  - https://vinar.vin.bg.ac.rs/handle/123456789/10098
AB  - The main purpose of this paper is to improve, generalize, unify, extend and enrich the recent results established by Dung and Hang (2015), Piri and Kumam (2014, 2016), and Singh et al. (2018). In our proofs, we only use the property (F1) of Wardowski&rsquo;s F-contraction, while the many authors in their papers still use all tree properties of F-contraction as well as two new properties introduced by Piri and Kumam. Our approach in this paper indicates that for most results with F-contraction, property (F1) is sufficient. It is interesting to investigate whether (F1) is sufficient in the case of multi-valued mappings.
T2  - Mathematics
T1  - New Results on F-Contractions in Complete Metric Spaces
VL  - 10
IS  - 1
SP  - 12
DO  - 10.3390/math10010012
ER  -

@article{
author = "Vujaković, Jelena and Kontrec, Nataša and Tošić, Marina and Fabiano, Nicola and Radenović, Stojan",
year = "2022",
abstract = "The main purpose of this paper is to improve, generalize, unify, extend and enrich the recent results established by Dung and Hang (2015), Piri and Kumam (2014, 2016), and Singh et al. (2018). In our proofs, we only use the property (F1) of Wardowski&rsquo;s F-contraction, while the many authors in their papers still use all tree properties of F-contraction as well as two new properties introduced by Piri and Kumam. Our approach in this paper indicates that for most results with F-contraction, property (F1) is sufficient. It is interesting to investigate whether (F1) is sufficient in the case of multi-valued mappings.",
journal = "Mathematics",
title = "New Results on F-Contractions in Complete Metric Spaces",
volume = "10",
number = "1",
pages = "12",
doi = "10.3390/math10010012"
}

Vujaković, J., Kontrec, N., Tošić, M., Fabiano, N.,& Radenović, S.. (2022). New Results on F-Contractions in Complete Metric Spaces. in Mathematics, 10(1), 12.
https://doi.org/10.3390/math10010012

Vujaković J, Kontrec N, Tošić M, Fabiano N, Radenović S. New Results on F-Contractions in Complete Metric Spaces. in Mathematics. 2022;10(1):12.
doi:10.3390/math10010012 .

Vujaković, Jelena, Kontrec, Nataša, Tošić, Marina, Fabiano, Nicola, Radenović, Stojan, "New Results on F-Contractions in Complete Metric Spaces" in Mathematics, 10, no. 1 (2022):12,
https://doi.org/10.3390/math10010012 . .