Volume 6 (2024)
Volume 5 (2023)
Volume 4 (2022)
Volume 3 (2021)
Volume 2 (2020)
Volume 1 (2019)
Author = Nicola Fabiano
Number of Articles: 6
Remarks on ``On new orthogonal contractions in b-metric spaces'' and ``On orthogonal partial b-metric spaces with an application''
Volume 5, Issue 4 , December 2023, , Pages 1-9
Abstract
The results published by O. Yamaod and W. Sintunavarat in [On new orthogonal contractions in b-metric spaces, Intern. J. Pure Math., 5, 2018, 37--40], and by K. Javed, H. Aydi, ... Read More
Evaluation of integrals and series with uncommon methods
Volume 5, Issue 2 , July 2023, , Pages 29-38
Abstract
Definite integrals and series are calculated using uncommon methods: Feynman's parametrization, Schwinger's representation, and Cauchy's complex integration for series. Read More
On some new observations on Kurepa's left factorial
Volume 4, Issue 3 , June 2022, , Pages 1-8
Abstract
After a brief historical excursus, we prove in a simple way some properties of Kurepa's function, the left factorial. We introduce Kurepa's hypothesis, propose a new description, ... Read More
Some critical remarks of recent results on F-contractions in b-metric spaces
Volume 4, Issue 2 , April 2022, , Pages 1-10
Abstract
In this paper, we analyze, generalize and correct some recent results on F-contractions within b-metric spaces. In all results, our only assumption is the strict growth of the function ... Read More
On various types of compatible Jungck--Rhoades pairs of mappings in C*-algebra valued metric spaces
Volume 3, Issue 3 , September 2021, , Pages 1-25
Abstract
In this paper, among other things, we have established four different types of compatible mappings that work in the context of C*-algebra valued metric spaces. The obtained ... Read More
A proof of the Cauchy--Schwarz inequality from the change of reference frame
Volume 3, Issue 1 , February 2021, , Pages 46-47