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Lacunary ideal convergence in intuitionistic fuzzy normed linear spaces [PDF]

Computers and Mathematics With Applications, 2012
The aim of this article is to introduce and study the notion of lacunary ideal convergence in intuitionistic fuzzy normed linear spaces as a variant of the notion of ideal convergence.
Pradip Debnath
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A study on convergence and ideal convergence classes

Topology and its Applications, 2018
It is well known that topologies can be described by specifying which nets should converge to which points in the underlying set, see \textit{J. L. Kelley} [Duke Math. J. 17, 277--283 (1950; Zbl 0038.27003); General topology. Reprint of the 1955 original published by van Nostrand. Mineola, NY: Dover Publications (2017; Zbl 1358.54001)].
Georgiou, D. N., Megaritis, A. C., Prinos, G. A.   +2 more
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Lacunary ideal convergence of multiple sequences [PDF]

Journal of the Egyptian Mathematical Society, 2016
An ideal I is a family of subsets of N×N which is closed under taking finite unions and subsets of its elements. In this article, the concept of lacunary ideal convergence of double sequences has been introduced.
Bipan Hazarika
exaly   +2 more sources

Ideal-Convergence in Quantales

2011
In this paper, some important properties of points in quantale are discussed. Based on which we constructed the convergence structure on quantale by ideal and point, and some important properties are obtained.
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Pointwise ideal convergence and uniformly ideal convergence of sequences of fuzzy valued functions

Journal of Intelligent & Fuzzy Systems, 2017
In this paper we introduce the concepts of ideal convergence, pointwise ideal convergence, and uniformly ideal convergence of sequences of fuzzy valued functions based on the concept of convergence of sequences of fuzzy numbers and obtain the relationship among pointwise ideal convergence and uniformly ideal convergence of sequences of fuzzy valued ...
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On the ideal convergence of sequences of fuzzy numbers

Information Sciences, 2008
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Vijay Kumar 0001, Kuldeep Kumar
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Ideals of subseries convergence and F-spaces

Archiv der Mathematik, 2016
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Lech Drewnowski, Iwo Labuda
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Ideal convergence of sequence of sets

Contemporary Analysis and Applied Mathematics, 2015
In this paper, the concept of supremum and infimum for sequence of sets are defined. By using this two new notion the concept of ideal supremum and ideal infimum for sequence of sets are introduced. Besides basic properties of these concepts, ideal convergence of sequence of sets is defined and the relations between them are investigated.
Burcu İnan, Mehmet Küçükaslan
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ROUGH IDEAL CONVERGENCE

2014
In this paper we extend the notion of rough convergence using theconcept of ideals which automatically extends the earlier notions ofrough convergence and rough statistical convergence. We define the setof rough ideal limit points and prove several results associated with thisset.
PAL, Sudip Kumar, CH, Debraj, DUTTA, Sudipta   +2 more
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Logarithmic Ideal Convergence

Yapılan bu çalışmada, öncelikle, I(H,1)-toplanabilirlik kavramı tanımlanmıştır ve (H,1)-toplanabilirlik kavramı ile I(H,1)-toplanabilirlik kavramı arasındaki ilişki verilmiştir. Daha sonra, logaritmik I-yakınsaklık kavramı ve logaritmik I-Cauchy dizi kavramı tanımlanarak aralarındaki ilişki araştırılmıştır.
Boztepe, Ayfer, Dündar, Erdinç
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