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 ideal convergence of rough triple sequence [PDF]
E-Journal of Analysis and Applied Mathematics, 2022 In this paper, we present the ideal convergence of triple sequences for rough variables. Furthermore, sequence convergence plays an extremely important role in the fundamental theory of mathematics.
Ömer Kişi +2 more
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On Rough $\mathcal{I}$-Convergence and $\mathcal{I}$-Cauchy Sequence for Functions Defined on Amenable Semigroups [PDF]
Universal Journal of Mathematics and Applications, 2023 In this paper, firstly we introduced the concepts of rough $\mathcal{I}$-convergence, rough $\mathcal{I}^*$-convergence, rough $\mathcal{I}$-Cauchy sequence, and rough $\mathcal{I}^*$-Cauchy sequence of a function defined on discrete countable amenable ...
Erdinç Dündar, Uğur Ulusu
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On Strongly Lacunary $\mathcal{I}_2^{\ast }$-Convergence and Strongly Lacunary $\mathcal{I}_2^{\ast }$-Cauchy Sequence [PDF]
Universal Journal of Mathematics and Applications, 2023 In the study conducted here, we have given some new concepts in summability theory. In this sense, firstly, using the lacunary sequence we have given the concept of strongly $\mathcal{I}_{\theta_2}^{\ast}$-convergence and we have examined the relations ...
Esra Gülle +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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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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Fibonacci Ideal Convergence on Intuitionistic Fuzzy Normed Linear Spaces
Fuzzy Information and Engineering, 2022 The main goal of this article is to present the notion of Fibonacci I-convergence of sequences on intuitionistic fuzzy normed linear space. To accomplish this goal, we mainly investigate some fundamental properties of the newly introduced notion.
Ömer Kişi, Pradip Debnath
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Lacunary ℐ-Invariant Convergence of Sequence of Sets in Intuitionistic Fuzzy Metric Spaces
Journal of Mathematics, 2021 The concepts of invariant convergence, invariant statistical convergence, lacunary invariant convergence, and lacunary invariant statistical convergence for set sequences were introduced by Pancaroğlu and Nuray (2013).
Mualla Birgül Huban
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Completeness results for metrized rings and lattices [PDF]
Categories and General Algebraic Structures with Applications, 2019 The Boolean ring $B$ of measurable subsets of the unit interval, modulo sets of measure zero, has proper radical ideals (for example, $\{0\})$ that are closed under the natural metric, but has no prime ideal closed under that metric; hence closed radical
George Bergman
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A Study on(λ−µ)Zweier Sequences and Their Behaviour in Neutrosophic Normed Spaces [PDF]
Neutrosophic Sets and SystemsIdeal 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
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