Results 41 to 50 of about 1,589,926 (279)

On the dynamics of the quantum states set for a system with degenerated Hamiltonian

open access: yesVestnik Samarskogo Gosudarstvennogo Tehničeskogo Universiteta. Seriâ: Fiziko-Matematičeskie Nauki, 2011
We study the sequence of regularizing Cauchy problem as the elliptic regularization of Cauchy problem for Schrodinger equation with discontinuous and degenerated coefficients.
V. Zh. Sakbaev
doaj   +3 more sources

New Convergence Definitions for Sequences of Sets

open access: yesAbstract and Applied Analysis, 2013
Several notions of convergence for subsets of metric space appear in the literature. In this paper, we define Wijsman  -convergence and Wijsman  -convergence for sequences of sets and establish some basic theorems.
Ömer Kişi, Fatih Nuray
doaj   +1 more source

Generalized a-min special type contraction results on 2-Menger spaces [PDF]

open access: yesBulletin of Natural Sciences Research, 2022
The goal of this paper is to present some novel probabilistic a-minimum contraction results on probabilistic 2-metric spaces. Our findings are based on probabilistic 2-metric spaces, which are the probabilistic generalisations of 2-metric spaces.
Bhandari Samir Kumar, Chandok Sumit
doaj   +1 more source

On Principal Fuzzy Metric Spaces

open access: yesMathematics, 2022
In this paper, we deal with the notion of fuzzy metric space (X,M,∗), or simply X, due to George and Veeramani. It is well known that such fuzzy metric spaces, in general, are not completable and also that there exist p-Cauchy sequences which are not ...
Valentín Gregori   +3 more
doaj   +1 more source

On unitary extensions and unitary completions of topological monoids

open access: yesTopological Algebra and its Applications, 2016
The concept of a unitary Cauchy net in an arbitrary Hausdorff topological monoid generalizes the concept of a fundamental sequence of reals. We construct extensions of this monoid where all its unitary Cauchy nets converge.
Averbukh Boris G.
doaj   +1 more source

Beyond cauchy and quasi-Cauchy sequences

open access: yesFilomat, 2018
In this paper, we investigate the concepts of downward continuity and upward continuity. A real valued function on a subset E of R, the set of real numbers, is downward continuous if it preserves downward quasi-Cauchy sequences; and is upward continuous if it preserves upward quasi-Cauchy sequences, where a sequence (xk) of points in R is ...
openaire   +2 more sources

Quasi Cauchy double sequences [PDF]

open access: yesTbilisi Mathematical Journal, 2015
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Patterson, Richard F., Cakalli, Huseyin
openaire   +2 more sources

A new study on the strongly lacunary quasi Cauchy sequences

open access: yesSakarya Üniversitesi Fen Bilimleri Enstitüsü Dergisi, 2018
In this paper, the concept ofan -quasi-Cauchysequence is introduced. We proved interesting theorems related to -quasi-Cauchysequences. A real valued function defined on a subset of , the set of real numbers, is -ward continuous on if it preserves -quasi ...
Huseyin Cakalli, Hüseyin Kaplan
doaj   +1 more source

On Ideal Convergence in Generalized Metric Spaces

open access: yesDera Natung Government College Research Journal, 2023
Our main goal in this paper is to introduce the concept of ideal convergence in G-metric spaces. We give definitions of GI-convergence and GI*-convergence in G-metric spaces. We also extend the I-convergence concept's properties to GI-convergence.
Saime Kolancı, Mehmet Gurdal
doaj   +1 more source

On 𝒥-Cauchy Sequences

open access: yesReal Analysis Exchange, 2005
e study $\mathcal{I}$-convergence and $\mathcal{I}$-Cauchy sequences in metric spaces where $\mathcal{I}\subset\mathcal{P}(\mathbb{N}^k)$ is an ideal containing all singletons and $k\in\{1,2\}.$$
openaire   +2 more sources

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