On Some Novel Fixed Point Results for Generalized F-Contractions in b-Metric-Like Spaces with Application
Article (Published version)
Metadata
Show full item recordAbstract
The focus of our work is on the most recent results in fixed point theory related to contractive mappings.We describe
variants of (s, q, φ, F)-contractions that expand, supplement and unify an important work widely discussed in the
literature, based on existing classes of interpolative and F-contractions. In particular, a large class of contractions
in terms of s, q, φ and F for both linear and nonlinear contractions are defined in the framework of b-metric-like
spaces. The main result in our paper is that (s, q, φ, F)-g-weak contractions have a fixed point in b-metric-like
spaces if function F or the specified contraction is continuous. As an application of our results, we have shown the
existence and uniqueness of solutions of some classes of nonlinear integral equations.
Keywords:
(φ, F)-contraction / (s, q, φ, F)-contraction / b-metric-like space / fixed poinSource:
Computer Modeling in Engineering & Sciences, 2023, 135, 1, 673-686Publisher:
- Tech Science Press
DOI: 10.32604/cmes.2022.022878
ISSN: 1526-1492; 1526-1506 (eISSN)
Scopus: 2-s2.0-85139766831
Collections
Institution/Community
Mašinski fakultetTY - JOUR AU - Zoto, Kastriot AU - Vardhami, Ilir AU - Bajović, Dušan AU - Mitrović, Zoran AU - Radenović, Stojan PY - 2023 UR - https://machinery.mas.bg.ac.rs/handle/123456789/3925 AB - The focus of our work is on the most recent results in fixed point theory related to contractive mappings.We describe variants of (s, q, φ, F)-contractions that expand, supplement and unify an important work widely discussed in the literature, based on existing classes of interpolative and F-contractions. In particular, a large class of contractions in terms of s, q, φ and F for both linear and nonlinear contractions are defined in the framework of b-metric-like spaces. The main result in our paper is that (s, q, φ, F)-g-weak contractions have a fixed point in b-metric-like spaces if function F or the specified contraction is continuous. As an application of our results, we have shown the existence and uniqueness of solutions of some classes of nonlinear integral equations. PB - Tech Science Press T2 - Computer Modeling in Engineering & Sciences T1 - On Some Novel Fixed Point Results for Generalized F-Contractions in b-Metric-Like Spaces with Application EP - 686 IS - 1 SP - 673 VL - 135 DO - 10.32604/cmes.2022.022878 ER -
@article{ author = "Zoto, Kastriot and Vardhami, Ilir and Bajović, Dušan and Mitrović, Zoran and Radenović, Stojan", year = "2023", abstract = "The focus of our work is on the most recent results in fixed point theory related to contractive mappings.We describe variants of (s, q, φ, F)-contractions that expand, supplement and unify an important work widely discussed in the literature, based on existing classes of interpolative and F-contractions. In particular, a large class of contractions in terms of s, q, φ and F for both linear and nonlinear contractions are defined in the framework of b-metric-like spaces. The main result in our paper is that (s, q, φ, F)-g-weak contractions have a fixed point in b-metric-like spaces if function F or the specified contraction is continuous. As an application of our results, we have shown the existence and uniqueness of solutions of some classes of nonlinear integral equations.", publisher = "Tech Science Press", journal = "Computer Modeling in Engineering & Sciences", title = "On Some Novel Fixed Point Results for Generalized F-Contractions in b-Metric-Like Spaces with Application", pages = "686-673", number = "1", volume = "135", doi = "10.32604/cmes.2022.022878" }
Zoto, K., Vardhami, I., Bajović, D., Mitrović, Z.,& Radenović, S.. (2023). On Some Novel Fixed Point Results for Generalized F-Contractions in b-Metric-Like Spaces with Application. in Computer Modeling in Engineering & Sciences Tech Science Press., 135(1), 673-686. https://doi.org/10.32604/cmes.2022.022878
Zoto K, Vardhami I, Bajović D, Mitrović Z, Radenović S. On Some Novel Fixed Point Results for Generalized F-Contractions in b-Metric-Like Spaces with Application. in Computer Modeling in Engineering & Sciences. 2023;135(1):673-686. doi:10.32604/cmes.2022.022878 .
Zoto, Kastriot, Vardhami, Ilir, Bajović, Dušan, Mitrović, Zoran, Radenović, Stojan, "On Some Novel Fixed Point Results for Generalized F-Contractions in b-Metric-Like Spaces with Application" in Computer Modeling in Engineering & Sciences, 135, no. 1 (2023):673-686, https://doi.org/10.32604/cmes.2022.022878 . .