Zobrazeno 1 - 10
of 1 225
pro vyhledávání: '"Uniform space"'
Publikováno v:
Mathematica Moravica, Vol 28, Iss 1, Pp 53-61 (2024)
Precompact type properties - precompactness (=totally precompactness), s-precompactness, pre-Lindelöfness, (=ℵ0-boundedness), t -boundedness - belong to the basic important invariants studied in the uniform topology. The theory of these invariants
Externí odkaz:
https://doaj.org/article/4c6a30f5d8c24c5a9379c6c561fee075
Autor:
Ji Zhanjiang
Publikováno v:
Demonstratio Mathematica, Vol 56, Iss 1, Pp 145-157 (2023)
First, we introduce the concepts of equicontinuity, expansivity , ergodic shadowing property, and chain transitivity in uniform space. Second, we study the dynamical properties of equicontinuity, expansivity , ergodic shadowing property, and chain tr
Externí odkaz:
https://doaj.org/article/59124749f14341b08f80ec36a4a52a6a
Autor:
Gunther Jäger
Publikováno v:
Applied General Topology, Vol 24, Iss 1, Pp 205-227 (2023)
Based on the concept of Cauchy pair Τ-filters, we develop an axiomatic theory of completeness for non-symmetric spaces, such as Τ-quasi-uniform (limit) spaces or L-metric spaces. We show that the category of Τ-quasi-Cauchy spaces is topological an
Externí odkaz:
https://doaj.org/article/175cdc8351a64bf59458d796a341f705
Publikováno v:
Open Mathematics, Vol 20, Iss 1, Pp 1926-1936 (2022)
The notion of dual uniformity is introduced on UC(Y,Z)UC(Y,Z), the uniform space of uniformly continuous mappings between YY and ZZ, where (Y,V)(Y,{\mathcal{V}}) and (Z,U)(Z,{\mathcal{U}}) are two uniform spaces. It is shown that a function space uni
Externí odkaz:
https://doaj.org/article/2df04c73e5b248408a225cec55931ede
Publikováno v:
Entropy, Vol 26, Iss 1, p 47 (2024)
This paper introduces the notion of multi-sensitivity with respect to a vector within the context of non-autonomous dynamical systems on uniform spaces and provides insightful results regarding N-sensitivity and strongly multi-sensitivity, along with
Externí odkaz:
https://doaj.org/article/c69f057f82eb4d29a4820e95f0f6ffb4
Autor:
Meghea Irina, Stamin Cristina Stefania
Publikováno v:
Demonstratio Mathematica, Vol 55, Iss 1, Pp 354-379 (2022)
This paper presents some variants of minimal point theorem together with corresponding variants of Ekeland variational principle. In the second part of this article, there is a discussion on Ekeland variational principle and minimal point theorem rel
Externí odkaz:
https://doaj.org/article/bd4d390b7b09419f94bb0479c457e50a
Autor:
Park Sehie
Publikováno v:
Topological Algebra and its Applications, Vol 10, Iss 1, Pp 68-76 (2022)
According to our long-standing Metatheorem, certain maximum theorems can be equivalently reformulated to various types of fixed point theorems, and conversely. As examples of such theorems, in this paper, we list Zermelo’s fixed point theorem, Brø
Externí odkaz:
https://doaj.org/article/1255c50b3aa2432cac0772ad638645e0
Publikováno v:
Applied General Topology, Vol 22, Iss 2, Pp 447-459 (2021)
In this paper the properties of space of the G-permutation degree, like: weight, uniform connectedness and index boundedness are studied. It is proved that: (1) If (X, U) is a uniform space, then the mapping π s n, G : (X n , U n ) → (SP n GX, SP
Externí odkaz:
https://doaj.org/article/d9b5524178aa4c339b5d341b503001a6
Publikováno v:
Electronic Research Archive, Vol 30, Iss 6, Pp 2183-2195 (2022)
The classical notion of statistical convergence has recently been transported to the scope of real normed spaces by means of the $ f $-statistical convergence for $ f $ a modulus function. Here, we go several steps further and extend the $ f $-statis
Externí odkaz:
https://doaj.org/article/53e74e51b29b4fc0b57be19ff8d4a718