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In this paper, using the concept of natural density, we have introduced the notion of rough statistical convergence which is an extension of the notion of rough convergence in a partial metric space. We have defined the set of rough…

General Topology · Mathematics 2024-02-23 Sukila khatun , Amar Kumar Banerjee

The idea of rough statistical convergence for double sequences was studied by Ozcan and Or[29] in a intuitionistic fuzzy normed space. Recently the same has been generalized in the ideal context by Hossain and Banerjee[15] for sequences.…

General Mathematics · Mathematics 2023-03-27 Rahul Mondal , Nesar Hossain

The concept of I-statistical convergence of sequence was first defined by Das et.al [2]. In this paper we introduce and study the notion of rough I-statistical convergence of sequence in normed linear Spaces. We also define the set of rough…

Functional Analysis · Mathematics 2018-09-19 Prasanta Malik , Manojit Maity , Argha Ghosh

In this paper we study the notion of rough $\mathcal{I}$-statistical convergence of sequences in a partial metric space as an extension work of both the notions of rough statistical and rough ideal convergence. Here we define rough…

General Topology · Mathematics 2025-11-25 Sukila Khatun , Khairul Hasan , Amar Kumar Banerjee

In this paper, using the concept of natural density, we have introduced the ideas of statistical and rough statistical convergence in an $S$-metric space. We have investigated some of their basic properties. We have defined statistical…

General Topology · Mathematics 2024-08-28 Sukila Khatun , Amar Kumar Banerjee

Here we have introduced the idea of rough convergence of sequences in a cone metric space. Also it has been investigated how far several basic properties of rough convergence as valid in a normed linear space are affected in a cone metric…

Metric Geometry · Mathematics 2018-05-28 Amar Kumar Banerjee , Rahul Mondal

In this paper we have studied the notion of rough convergence of sequences in a partial metric space. We have also investigated how far several relevant results on boundedness, rough limit sets etc. which are valid in a metric space are…

General Topology · Mathematics 2022-11-08 Amar Kumar Banerjee , Sukila Khatun

The concept of I-statistical convergence of a double sequence was first introduced and study by Das et. el [2]. Here in this paper we discuss some results on rough ideal statistical convergence and also we introduce the notion of rough…

Functional Analysis · Mathematics 2019-07-09 Prasanta Malik , Argha Ghosh

In this paper we study some basic properties of rough $I$-convergent double sequences in the line of D$\ddot{u}$ndar [8]. We also study the set of all rough $I$-limits of a double sequence and relation between boundedness and rough…

Functional Analysis · Mathematics 2016-11-28 P. Malik , M. Maity , A. Ghosh

In this research article, we have primarily focused on the circumstantial investigation of deferred statistical convergence of sequences and investigated some fundamental results compatible with the structure of a probabilistic normed…

Functional Analysis · Mathematics 2024-08-14 Nesar Hossain , Rahul Mondal

Mlaiki et al.\cite{MLA} introduced the idea of controlled metric type spaces, which is a new extension of $b$-metric spaces with addition of a controlled function $\alpha(x,y)$ of the right-hand side of the $b$-triangle inequality. Phu…

General Topology · Mathematics 2023-11-03 Sukila Khatun , Amar Kumar Banerjee

In this paper, we have introduced first the notion of rough $I^*$-convergence in a normed linear space as an extension work of rough $I$-convergence and then rough $I^K$-convergence in more general way. Then we have studied some properties…

General Topology · Mathematics 2021-02-16 Amar Kumar Banerjee , Anirban Paul

In this paper we study some basic properties of strong {\lambda}- statistical convergence of sequences in probabilistic metric (PM) spaces. We also introduce and study the notion of strong {\lambda}-statistically Cauchyness. Further…

Functional Analysis · Mathematics 2020-07-21 Prasanta Malik , Samiran Das

Phu introduced the idea of rough convergence of sequences in a normed linear space. Here using the idea of Phu we have brought the idea of rough convergence of sequences in a S-metric space and discussed some of its basic properties.

General Topology · Mathematics 2022-05-30 Rahul Mondal , Sukila Khatun

In this paper we study some basic properties of strong A-statistical convergence and strong A-statistical Cauchyness of sequences in probabilistic metric spaces not done earlier. We also study some basic properties of strong A-statistical…

Functional Analysis · Mathematics 2022-04-07 Prasanta Malik , Samiran Das

In this paper, in the line of Aytar\cite{Ay2} and \c{C}olak \cite{Co}, we introduce the notion of rough statistical convergence of order $\alpha$ in normed linear spaces and study some properties of the set of all rough statistical limit…

Functional Analysis · Mathematics 2016-03-02 Manojit Maity

Here we have studied the notion of rough $I$-convergence as an extension of the idea of rough convergence in a cone metric space using ideals. We have further introduced the notion of rough $I^*$-convergence of sequences in a cone metric…

Metric Geometry · Mathematics 2019-08-07 Amar Kumar Banerjee , Anirban Paul

In this paper we are concerned with the recent summability notion of I-statistically pre-Cauchy real double sequences in line of Das et. al. [6] as a generalization of I-statistical convergence. Here we introduce the notion of double…

Functional Analysis · Mathematics 2017-03-22 Prasanta Malik , Argha Ghosh

In this paper, we introduce the notions of pointwise rough statistical convergence and rough statistically Cauchy sequences of real valued functions in the line of A. (T$\ddot{u}$rkmenoglu) G$\ddot{o}$khan and M. G$\ddot{u}$ng$\ddot{o}$r…

Functional Analysis · Mathematics 2016-12-28 Manojit Maity

In this paper we introduce the notions of statistical convergence and statistical Cauchyness of sequences in a metric-like space. We study some basic properties of these notions

General Topology · Mathematics 2024-07-11 Prasanta Malik , Saikat Das
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