Results 31 to 40 of about 75,293 (284)
Ideal convergence and ideal Cauchy sequences in intuitionistic fuzzy metric spaces [PDF]
Mathematica Moravica, 2023 The present study introduces the concepts of ideal convergence (I-convergence), ideal Cauchy (I-Cauchy) sequences, I *-convergence, and I *-Cauchy sequences in intuitionistic fuzzy metric spaces.
Or Aykut, Karabacak Gökay
doaj
Double sequences with ideal convergence in fuzzy metric spaces [PDF]
, 2023 We show ideal convergence (I-convergence), ideal Cauchy (I-Cauchy) sequences, I* -convergence and I*-Cauchy sequences for double sequences in fuzzy metric spaces. We define the I-limit and I-cluster points of a double sequence in these spaces. Afterward,
Or, Aykut
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On Intuitionistic Fuzzy Metric Space and Ideal Convergence of Triple Sequence Space [PDF]
Sahand 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
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Ideal convergence of sequences in neutrosophic normed spaces
, 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
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On Lacunary $\mathcal{I}_2^{\ast }$-Convergence and Lacunary $\mathcal{I}_2^{\ast }$-Cauchy Sequence
Communications 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
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Ideal convergence of bounded sequences
Journal 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
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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 +2 more
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Ideal convergence and divergence of nets in $(\ell )$-groups
, 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
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$\mathcal{I}$-convergence in Fuzzy Cone Normed Spaces [PDF]
Sahand 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
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Ideal convergent subseries in Banach spaces [PDF]
Quaestiones Mathematicae, 2018 Assume that $\mathcal{I}$ is an ideal on $\mathbb{N}$, and $\sum_n x_n$ is a divergent series in a Banach space $X$. We study the Baire category, and the measure of the set $A(\mathcal{I}):=\left\{t \in \{0,1\}^{\mathbb{N}} \colon \sum_n t(n)x_n \textrm{ is } \mathcal{I}\textrm{-convergent}\right\}$.
Balcerzak, Marek +2 more
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