Volume 70 | Issue 11 | Year 2024 | Article Id. IJMTT-V70I11P104 | DOI : https://doi.org/10.14445/22315373/IJMTT-V70I11P104
Received | Revised | Accepted | Published |
---|---|---|---|
18 Aug 2024 | 30 Sep 2024 | 16 Nov 2024 | 30 Nov 2024 |
In this paper, after presenting the concept of the strong φ-metric space, we establish some properties for complete spaces, dense or bounded subsets, and even uniformly continuous functions defined in such spaces. Our results boost (generalize) plenty of pre-existing results in the literature.
Strong φ-metric, Strong φ-metric space, Completeness, Dense space, Uniformly continuous function.
[1] M. Maurice Fr´echet, “On some Points of Functional Calculation,” Rendiconti del Circolo Matematico di Palermo, vol. 22, pp. 1—72,
1906.
[Google Scholar]
[2] Shaban Sedghi, Nabi Shobe, and Abdelkrim Aliouche, “A Generalization of Fixed-point Theorems in S-metric Space,” Matematiqki
Vesnik, vol. 64, no. 3, pp. 258–266, 2012.
[Google Scholar]
[3] Stefan Czerwik, “Contraction Mappings in b-metric Spaces,” Acta Mathematica et Informatica Universitatis Ostraviensis, vol. 1, no. 1,
pp. 5–11, 1993.
[Google Scholar]
[4] Stefan Czrerwik, “Nonlinear Set-valued Contraction Mappings in b-metric Spaces,” Atti del Seminario Matematico e Fisico University
Modena Reggio Emilia, vol. 46, pp. 263–276, 1998.
[Google Scholar]
[5] M. Isabel Garrido, and Ana S. Merono, “New Types of Completeness in Metric Spaces,” Annles Academie Scientarium Fennicae
Matematica, vol. 39, pp. 733-758, 2014.
[Google Scholar]
Stela Çeno, Ledia Subashi, Dhurata Valera, "Complete Strong φ-Metric Spaces," International Journal of Mathematics Trends and Technology (IJMTT), vol. 70, no. 11, pp. 28-31, 2024. Crossref, https://doi.org/10.14445/22315373/IJMTT-V70I11P104