Zobrazeno 1 - 10
of 2 379
pro vyhledávání: '"ultrametric"'
Autor:
J. Ettayb
Publikováno v:
Researches in Mathematics, Vol 32, Iss 1, Pp 45-59 (2024)
In this paper, we study the ultrametric 2-normed spaces and the ultrametric 2-Banach spaces. In particular, we establish some results on Cauchy sequences in ultrametric 2-normed spaces. Also, we introduce and study the notion of bounded linear 2-func
Externí odkaz:
https://doaj.org/article/789d4840e7074b42ac5417a4741f6394
Autor:
Viktoriia Bilet, Oleksiy Dovgoshey
Publikováno v:
Frontiers in Applied Mathematics and Statistics, Vol 10 (2024)
Let X be a class of metric spaces and let PX be the set of all f : [0, ∞) → [0, ∞) preserving X, i.e., (Y, f ∘ ρ) ∈ X whenever (Y, ρ) ∈ X. For arbitrary subset A of the set of all metric preserving functions, we show that the equality P
Externí odkaz:
https://doaj.org/article/70aacfa875914ebd975c3b2aa12b7aa4
Autor:
Suchat Samphavat, Thanakorn Prinyasart
Publikováno v:
Fixed Point Theory and Algorithms for Sciences and Engineering, Vol 2024, Iss 1, Pp 1-16 (2024)
Abstract In this article, new classes of functions based on new variations of metric-preserving functions are defined. Necessary and sufficient conditions for functions to be in these classes are also provided. As a result, we can explain relations b
Externí odkaz:
https://doaj.org/article/0511a8fd23534bb988f2eae074642b09
Autor:
Ettayb Jawad
Publikováno v:
Topological Algebra and its Applications, Vol 11, Iss 1, Pp 573-580 (2023)
In this article, we study the λ\lambda -commuting of bounded linear operators on ultrametric Banach spaces and the determinant spectrum of ultrametric matrices. We discuss some properties of λ\lambda -commuting of bounded linear operators and the d
Externí odkaz:
https://doaj.org/article/0a726b3a1b8443f1b9dd7eb868adf1f4
Publikováno v:
Demonstratio Mathematica, Vol 57, Iss 1, Pp 133-181 (2024)
The present article deals with new fixed point theorems by means of GG-strongly contractive maps. The research findings are demonstrated in a spherically complete ultrametric space with a graph for single-valued mappings. The special cases of the res
Externí odkaz:
https://doaj.org/article/77eedb8c139c4c9da0c272555b565827
Akademický článek
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Publikováno v:
Theory and Applications of Graphs, Vol 9, Iss 1, Pp 1-17 (2022)
Let \((X, d)\) be a semimetric space and let \(G\) be a graph. We say that \(G\) is the diametrical graph of \((X, d)\) if \(X\) is the vertex set of \(G\) and the adjacency of vertices \(x\) and \(y\) is equivalent to the equality \(\diam X = d(x, y
Externí odkaz:
https://doaj.org/article/e7ccea5b45144f748a895334593833fc
Akademický článek
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Autor:
Kh.O. Sukhorukova, M.M. Zarichnyi
Publikováno v:
Karpatsʹkì Matematičnì Publìkacìï, Vol 14, Iss 2, Pp 429-436 (2022)
The functor of $\ast$-measures of compact support on the category of ultrametric spaces and non-expanding maps is introduced in the previous publication of the authors. In the present note, we prove that this functor determines a monad on this catego
Externí odkaz:
https://doaj.org/article/9d368a6d297d4071b5a38af448891af2