Results 51 to 60 of about 3,785,525 (200)

Statistical convergence of double sequences in fuzzy normed spaces [PDF]

, 2012
In this paper, we study the concepts of statistically convergent and statistically Cauchy double sequences in the framework of fuzzy normed spaces which provide better tool to study a more general class of sequences.
H. Şevli, MOHIUDDINE, S. A., S.A. Mohiuddine, Mohiuddine, Syed Abdul, Şevli, Hamdullah, M. Cancan, Cancan, Murat, Sevli, H., Cancan, M.   +8 more
core   +1 more source

On lacunary statistically quasi-Cauchy sequences

, 2011
The main object of this paper is to investigate lacunary statistically ward continuity. We obtain some relations between this kind of continuity and some other kinds of continuities. It turns out that any lacunary statistically ward continuous real valued function on a lacunary statistically ward compact subset $E\subset{\textbf{R}}$ is uniformly ...
Sönmez, Ayşe, Çakallı, Hüseyin, GÜNDÜZ, ÇİĞDEM   +2 more
openaire   +3 more sources

On Δᵐ-statistical convergence double sequences in intuitionistic fuzzy normed spaces

, 2022
In the present paper, the basic objective of our work is to define Δᵐ-statistical convergence in the setup of intuitionistic fuzzy normed spaces for double sequences. We have proved some examples which shows this method of convergence is more generalized.
Hazarika, Bipan, Chawla, Meenakshi, Kumar, Vijay, Antal, Reena   +3 more
core   +1 more source

On \(\nabla\)-statistical convergence in random 2-normed space

Journal of Numerical Analysis and Approximation Theory, 2014
Recently in [19], Mursaleen introduced the concepts of statistical convergence in random 2-normed spaces. In this paper, we define and study the notion of \(\nabla\)-statistical convergence and \(\nabla \)-statistical Cauchy sequences by using \(\lambda\
Ayhan Esi
doaj   +2 more sources

On certain new notion of order Cauchy sequences, continuity in (l)-group

Applied General Topology, 2022
In this paper, we introduce the notion order quasi-Cauchy se-quences, downward and upward order quasi-cauchy sequences, order half Cauchy sequences.
Sudip Kumar Pal, Sagar Chakraborty
doaj   +1 more source

Analytic and Statistical Convergence Properties in Multiplicative Metric Spaces: A Logarithmic Perspective

Journal of Mathematics
In this paper, we revisit the structure of multiplicative metric spaces and investigate analytic notions such as convergence, Cauchy sequences, boundedness, and density within this framework.
Listán García María C, Ömer Kişi, Mehmet Gürdal, Selim Çetin   +3 more
doaj   +1 more source

$λ$-statistically quasi-Cauchy sequences

, 2013
The main object of this paper is to investigate $λ$-statistically quasi-Cauchy sequences. A real valued function $f$ defined on a subset $E$ of $\textbf{R}$, the set of real numbers, is called $λ$-statistically ward continuous on $E$ if it preserves $λ$-statistically quasi-Cauchy sequences of points in $E$.
Cakalli, Huseyin, Sonmez, Ayse, Aras, Cigdem Gunduz   +2 more
openaire   +2 more sources

Statistical convergence of sequences in neutrosophic n-normed linear spaces [PDF]

Journal of Fuzzy Extension and Applications
In this research paper, we present a comprehensive investigation into statistical convergence and statistical Cauchy sequences within the framework of neutrosophic n-normed linear spaces.
Nesar Hossain, Omer Kisi
doaj   +1 more source

λ-Statistical Convergence in Paranormed Space

Abstract and Applied Analysis, 2013
The concept of λ-statistical convergence for sequences of real numbers was introduced in Mursaleen (2000). In this paper, we prove decomposition theorem for λ-statistical convergence.
Mohammed A. Alghamdi, Mohammad Mursaleen
doaj   +1 more source

Statistical Convergence of Double Sequences on Probabilistic Normed Spaces

International Journal of Mathematics and Mathematical Sciences, 2007
The concept of statistical convergence was presented by Steinhaus in 1951. This concept was extended to the double sequences by Mursaleen and Edely in 2003.
S. Karakus, K. Demırcı
doaj   +1 more source