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Spaces of Ideal Convergent Sequences [PDF]
The Scientific World Journal, 2014 In the present paper, we introduce some sequence spaces using ideal convergence and Musielak-Orlicz functionℳ=Mk. We also examine some topological properties of the resulting sequence spaces.
M. Mursaleen, Sunil K. Sharma
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Regularly ideal invariant convergence of double sequences
Journal of Inequalities and Applications, 2021 In this paper, we introduce the notions of regularly invariant convergence, regularly strongly invariant convergence, regularly p-strongly invariant convergence, regularly ( I σ , I 2 σ ) $(\mathcal{I}_{\sigma },\mathcal{I}^{\sigma }_{2})$ -convergence ...
Nimet Pancaroǧlu Akın
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Some properties of $I_3$-λ-statistical cluster points
Dera Natung Government College Research Journal, 2022 In this note, we investigate some problems concerning the set of λ-statistical cluster points of triple sequences via ideals in finite dimensional spaces, and some of its properties in finite dimensional Banach spaces are proved.
Verda Gürdal, Ömer Kişi
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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
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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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Orlicz-lacunary convergent triple sequences and ideal convergence
Communications Faculty Of Science University of Ankara Series A1Mathematics and Statistics, 2022 In the present paper we introduce and study Orlicz lacunary convergent triple sequences over n-normed spaces. We make an effort to present the notion of $g_{3}$-ideal convergence in triple sequence spaces. We examine some topological and algebraic features of new formed sequence spaces. Some inclusion relations are obtained in this paper.
Kişi, Ömer +2 more
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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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On Real Algebras Associated with Ideal Convergence
Real Analysis Exchange, 2022 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Balaz, Vladimir +2 more
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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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