Results 31 to 40 of about 1,597,416 (183)

On Intuitionistic Fuzzy Metric Space and Ideal Convergence of Triple Sequence Space [PDF]

open access: yesSahand Communications in Mathematical Analysis, 2023
The purpose of this article is to introduce the triple sequences and its convergence over instuitionistic fuzzy metric space (\textbf{IFMS}). The article also discusses ideal convergence of triple sequences, the uniqueness of ideal limits, the ...
Shailendra Pandit, Ayaz Ahmad, Ayhan Esi
doaj   +1 more source

On Lacunary $\mathcal{I}_2^{\ast }$-Convergence and Lacunary $\mathcal{I}_2^{\ast }$-Cauchy Sequence

open access: yesCommunications in Advanced Mathematical Sciences, 2023
In the study conducted here, we have given some new concepts in summability. In this sense, firstly, we have given the concept of lacunary $\mathcal{I}_2^{\ast}$-convergence and we have investigated the relations between lacunary $\mathcal{I}_2 ...
Nimet Pancaroğlu Akın, Erdinç Dündar
doaj   +1 more source

Ideal convergence of bounded sequences

open access: yesJournal of Symbolic Logic, 2007
AbstractWe generalize the Bolzano-Weierstrass theorem (that every bounded sequence of reals admits a convergent subsequence) on ideal convergence. We show examples of ideals with and without the Bolzano-Weierstrass property, and give characterizations of BW property in terms of submeasures and extendability to a maximal P-ideal. We show applications to
Rafal Filipów   +3 more
openaire   +2 more sources

Ideals, Nonnegative Summability Matrices and Corresponding Convergence Notions: A Short Survey of Recent Advancements

open access: yesAxioms, 2021
In this survey article, we look into some recent results concerning summability matrices, both regular as well as those which are not regular (called semi-regular) and generated matrix ideals as the overall view of the inter relationship between the ...
Pratulananda Das
doaj   +1 more source

$\mathcal{I}$-convergence in Fuzzy Cone Normed Spaces [PDF]

open access: yesSahand Communications in Mathematical Analysis, 2021
The aim of this paper is to define and study the concept of $\mathcal{I}$-convergence in fuzzy cone normed space which is a generalization of R. Saadati and S. M. Vaezpour type fuzzy normal space.
Aysegul Caksu Guler
doaj   +1 more source

Ideal convergence of sequences in neutrosophic normed spaces

open access: yes, 2021
Statistical convergence of sequences has been studied in neutrosophic normed spaces (NNS) by Kirisci and Simsek [39]. Ideal convergence is more general than statistical convergence for sequences.
Kişi, Ömer
core   +1 more source

Ideal convergence and divergence of nets in $(\ell )$-groups

open access: yes, 2012
summary:In this paper we introduce the ${\mathcal I}$- and ${\mathcal I}^*$-convergence and divergence of nets in $(\ell )$-groups. We prove some theorems relating different types of convergence/divergence for nets in $(\ell )$-group setting, in relation
Boccuto, Antonio   +2 more
core   +2 more sources

Ideal convergence in fuzzy metric spaces

open access: yes, 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 (λ,μ)- Zweier ideal convergence in intuitionistic fuzzy normed space [PDF]

open access: yesYugoslav Journal of Operations Research, 2020
In this paper, we study and introduce a new type of convergence, namely (λ,μ)- Zweier convergence and (λ,μ)- Zweier ideal convergence of double sequences x = (xij) in intuitionistic fuzzy normed space (IFNS), where λ = (λn) and μ= (μm) are two non ...
Khan Vakeel A., Ahmad Mobeen
doaj   +1 more source

ON THE IDEAL CONVERGENCE OF MARTINGALES

open access: yesInternational Conference on Scientific and Innovative Studies, 2023
This paper deals with the ideal convergence theorem of martingales of ideal Bochner integrablefunctions.First, a characterization of the properties of ideal convergent martingales is obtained.In this papermartingales of ideal Bochner integrable functions with values in a Banach space are treated.
openaire   +1 more source

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