Results 41 to 50 of about 1,589,926 (279)
On the dynamics of the quantum states set for a system with degenerated Hamiltonian
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
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]
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
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
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
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]
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
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
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
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

