Some New Observations for F-Contractions in Vector-Valued Metric Spaces of Perov's Type
Апстракт
The main purpose of this article is to improve, generalize and complement some recently established results for Perov's type F-contractions. In our approach, we use only the property (F1) of Wardowski while other authors employed all three conditions. Working only with the fact that the function F is strictly increasing on (0, +infinity)(m), we obtain as a consequence new families of contractive conditions in the realm of vector-valued metric spaces of Perov's type. At the end of the article, we present an example that supports obtained theoretical results and genuinely generalizes several known results in existing literature.
Кључне речи:
vector-valued metric / pseudometric / Perov type F-contraction / fixed pointИзвор:
Axioms, 2021, 10, 2Издавач:
- MDPI, Basel
Финансирање / пројекти:
- Ministry of Education, Science and Technological Development of the Republic of Serbia
DOI: 10.3390/axioms10020127
ISSN: 2075-1680
WoS: 000665195000001
Scopus: 2-s2.0-85116836402
Колекције
Институција/група
Mašinski fakultetTY - JOUR AU - Mirkov, Nikola AU - Radenović, Stojan AU - Radojević, Slobodan PY - 2021 UR - https://machinery.mas.bg.ac.rs/handle/123456789/3519 AB - The main purpose of this article is to improve, generalize and complement some recently established results for Perov's type F-contractions. In our approach, we use only the property (F1) of Wardowski while other authors employed all three conditions. Working only with the fact that the function F is strictly increasing on (0, +infinity)(m), we obtain as a consequence new families of contractive conditions in the realm of vector-valued metric spaces of Perov's type. At the end of the article, we present an example that supports obtained theoretical results and genuinely generalizes several known results in existing literature. PB - MDPI, Basel T2 - Axioms T1 - Some New Observations for F-Contractions in Vector-Valued Metric Spaces of Perov's Type IS - 2 VL - 10 DO - 10.3390/axioms10020127 ER -
@article{ author = "Mirkov, Nikola and Radenović, Stojan and Radojević, Slobodan", year = "2021", abstract = "The main purpose of this article is to improve, generalize and complement some recently established results for Perov's type F-contractions. In our approach, we use only the property (F1) of Wardowski while other authors employed all three conditions. Working only with the fact that the function F is strictly increasing on (0, +infinity)(m), we obtain as a consequence new families of contractive conditions in the realm of vector-valued metric spaces of Perov's type. At the end of the article, we present an example that supports obtained theoretical results and genuinely generalizes several known results in existing literature.", publisher = "MDPI, Basel", journal = "Axioms", title = "Some New Observations for F-Contractions in Vector-Valued Metric Spaces of Perov's Type", number = "2", volume = "10", doi = "10.3390/axioms10020127" }
Mirkov, N., Radenović, S.,& Radojević, S.. (2021). Some New Observations for F-Contractions in Vector-Valued Metric Spaces of Perov's Type. in Axioms MDPI, Basel., 10(2). https://doi.org/10.3390/axioms10020127
Mirkov N, Radenović S, Radojević S. Some New Observations for F-Contractions in Vector-Valued Metric Spaces of Perov's Type. in Axioms. 2021;10(2). doi:10.3390/axioms10020127 .
Mirkov, Nikola, Radenović, Stojan, Radojević, Slobodan, "Some New Observations for F-Contractions in Vector-Valued Metric Spaces of Perov's Type" in Axioms, 10, no. 2 (2021), https://doi.org/10.3390/axioms10020127 . .