Results 51 to 60 of about 4,109,953 (303)

Some applications of the theory of Katětov order to ideal convergence

, 2020
In this paper we establish connections between the theory of Katětov order on ideals on countable sets with ideal convergence in general topological spaces, which are used to study the following questions posed by X.G. Zhou, L. Liu and S.
Hang Zhang, Shu-Guo Zhang
semanticscholar   +1 more source

On $A$-statistical convergence and $A$-statistical Cauchy via ideal

Karpatsʹkì Matematičnì Publìkacìï, 2022
In [Analysis 1985, 5 (4), 301-313], J.A. Fridy proved an equivalence relation between statistical convergence and statistical Cauchy sequence. In this paper, we define $A^{I^{\ast }}$-statistical convergence and find under certain conditions, that it is ...
O.H. Edely, M. Mursaleen
doaj   +1 more source

Octonion valued b -metric spaces and ideal convergence

Journal of Nonlinear Science and its Applications
This paper explores the extension of fundamental concepts such as convergence to b -metric spaces with octonion valued b -metric spaces constructed in [Q. B. Cai, S. Çetin, Ö. Ki¸si, M. Gürdal, preprint, (2025)].
Ö. Kişi, S. Çetin, M. Gurdal
semanticscholar   +1 more source

Certain aspects of ideal convergence in topological spaces

, 2020
In this note we investigate certain aspects of ideal convergence of functions, in a very general context. We consider the situation, given an arbitrary infinite set S, free ideals I , K ( ⊂ I ) and a family F ⊂ [ S ] ≥ ω , when an I convergent function f
P. Das, S. Sengupta, S. Gła̧b, Marek Bienias   +3 more
semanticscholar   +1 more source

Convergence in trace ideals [PDF]

Proceedings of the American Mathematical Society, 1981
We give an elementary proof of a theorem of Arazy which presents necessary and sufficient conditions on a symmetric sequence so that the associated symmetrically normed trace ideal has the property that if
openaire   +1 more source

An alternative approach to ideal Wijsman convergence

Journal of Classical Analysis, 2023
Summary: The concept of Wijsman convergence of a sequence of sets was defined using the pointwise convergence of the sequence of distance functions. Based on this idea, in this article, a new type of set convergence is obtained by using the concept of ideal \(\alpha\)-convergence for the sequence of distance functions.
Ölmez, Öznur, AYTAR, Salih, ALBAYRAK, Hüseyin   +2 more
openaire   +3 more sources

A Study on(λ−µ)Zweier Sequences and Their Behaviour in Neutrosophic Normed Spaces [PDF]

Neutrosophic Sets and Systems
Ideal convergence of sequences in neutrosophic normed spaces is defined by ¨Omer Ki¸si [12]. This paper defines new sequence spaces using the Zweier matrix and neutrosophic norm.
Vakeel A Khan, Mohd Faisal
doaj   +1 more source

Ideal convergence in fuzzy metric spaces

, 2022
Bu tez çalışmasında, ilk olarak, reel sayı dizilerinde istatistiksel yakınsaklık, metrik uzaylarda ideal yakınsaklık ve bulanık metrik uzaylarda istatistiksel yakınsaklık kavramları sunuldu.
Karabacak, Gökay
core   +1 more source

On Generalized Difference Rough Ideal Statistical Convergence in Neutrosophic Normed Spaces [PDF]

Neutrosophic Sets and Systems
This article’s main goal is to provide and investigate a novel statistical convergence generalisation for generalized difference sequences in Neutrosophic Normed Spaces (NNS) called rough ideal statistical convergence.
Manpreet Kaur, Meenakshi Chawla
doaj   +1 more source

Ideal Convergence in neutrosophic 2-normed space via the parameter µ and Zweier Operator [PDF]

Neutrosophic Sets and Systems
This paper introduces a novel convergence concept termed μ− Zweier ideal convergence within neutrosophic 2-normed spaces (briefly, N2NS). The parameter μ = (μn) represents a non-decreasing sequence of positive real numbers, with each μn tending to ...
Mobeen Ahmad, Nazneen Khan, Mohammad Imran Idrisi, Hira Fatima   +3 more
doaj   +1 more source