A. Banerjee

activity

20162026

most citedA Note on convergence of double sequences in a topological space

4 citations · 16 across the 33 of their papers we have counts for

collaborators

37 papers

math.GN2026

On $I^{s t}$ - convergence in the space of reals

Amar Kumar Banerjee, Khairul Hasan

In this paper, we study the notion of $I$ $^{s t}$ -convergence of sequences of real numbers which is an extension work of $I$ $^{*}$ -convergence on real sequences. W…

math.GN2025

Rough $I$ -statistical convergence in a partial metric space

Sukila Khatun, Khairul Hasan, Amar Kumar Banerjee

In this paper we study the notion of rough $I$ -statistical convergence of sequences in a partial metric space as an extension work of both the notions of rough statistica…

math.GN2025

Rough ideal convergence in a partial metric space

Sukila Khatun, Amar Kumar Banerjee, Rahul Mondal

In this paper, using the concept of ideal, we study the idea of rough ideal convergence of sequences which is an extension of the notion of rough convergence of sequences in a part…

math.GN2024

On sparse set topology using ideals in the space of reals

Indrajit Debnath, Amar Kumar Banerjee

In this paper we have introduced the notion of $I$ -sparse set in the space of reals and explored some properties of the family of $I$ -sparse sets. Thereafter we…

math.GN2024

Statistical and rough statistical convergence in an S-metric space

Sukila Khatun, 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…

math.GN2024

Rough statistical convergence of sequences in a partial metric space

Sukila khatun, Amar Kumar Banerjee

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 pa…

math.GN2023

Rough convergence of sequences in Controlled Metric Type Spaces

Sukila Khatun, Amar Kumar Banerjee

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 $α (x, y)$ of the r…

math.GN2023

On a generalized density point defined by families of sequences involving ideals

Amar Kumar Banerjee, Indrajit Debnath

In this paper we have introduced the notion of $I_{(s)}$ -density point corresponding to the family of unbounded and $I$ -monotonic increasing positive real seque…

math.GN2023

On some topology generated by $I$ -density function

Indrajit Debnath, Amar Kumar Banerjee

In this paper we have studied on $I$ -density function using the notion of $I$ -density, introduced by Banerjee and Debnath \cite{banerjee 4} where $I$ …

math.GN2023

$I_{ν}^{K}$ -Convergence of functions in probabilistic normed spaces

Amar Kumar Banerjee, Mahendranath Paul

In this paper we study $I^{K}$ -convergence of functions with respect to probabilistic norm $ν$ which is a generalization of $I_{ν}^{*}$ -convergence in probabilistic norm spaces. We also…

math.GN2023

On weak $I^{K}$ -Cauchy sequences in normed spaces

Amar Kumar Banerjee, Mahendranath Paul

In this paper, we study on weak $I^{K}$ -Cauchy condition as a generalization of weak $I^{*}$ -Cauchy condition in a normed space. We investigate the relationship between weak $I$ -Cauchy…

math.GN2022★ 1 cited

Rough convergence of sequences in a partial metric space

Amar Kumar Banerjee, Sukila Khatun

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, rou…

math.GN2022

On rough continuity and rough $I$ -continuity of real functions

Amar Kumar Banerjee, Anirban Paul

In this paper, we have studied first the idea of rough continuity of real valued functions of real variables and then we have discussed some important properties of rough continuit…

math.GN2022

A study on $I$ -localized sequences in S-metric spaces

Amar Kumar Banerjee, Nesar Hossain

In this paper we study the notion of $I$ -localized and $I^{*}$ -localized sequences in $S$ -metric spaces. Also, we investigate some properties related to $\mathcal…

math.GN2022

On density topology using ideals in the space of reals

Amar Kumar Banerjee, Indrajit Debnath

In this paper we have introduced the notion of $I$ -density topology in the space of reals introducing the notions of upper $I$ -density and lower $I$ -d…

math.GN2022

On $I$ -convergence of sequences of functions and uniform conjugacy

Amar Kumar Banerjee, Nesar Hossain

In this paper we introduce the notion of $I^{*} - α$ -uniform equal convergence and $I^{*} - α$ -strong uniform equal convergence of sequences of functions…

math.GN2021

SOME ASPECTS of $s λ$ -Closed Sets on Separation Axioms And Compactness in GT-spaces

Amar Kumar Banerjee, Jagannath Pal

Here we have investigated some aspects of $s λ$ -closed sets on separation axioms including $s T_{2 \frac{1}{2}}$ and $s T_{3 \frac{1}{2}}$ axioms and on compactness in generalized t…

math.GN2021

On $I$ and $I^{*}$ -equal convergence in linear $2$ -normed spaces

Amar Kumar Banerjee, Nesar Hossain

In this paper we study the notion of $I$ and $I^{*}$ -equal convergence in linear 2-normed spaces and some of their properties. We also establish the relationship…

math.GN2021

$I g^{*}$ -closed sets and its certain properties in $σ$ -spaces with respect to an ideal

Amar Kumar Banerjee, Jagannath Pal

Here we have introduced and studied the idea of $I g^{*}$ -closed set with respect to an ideal and investigated some of its properties in Alexandroff spaces. We have also introduced $…

math.GN2021

$(j - i) s g_{κ}^{*}$ -closed sets and pairwise semi $t_{ω}$ -axiom in bispaces

Jagannath Pal, Amar Kumar Banerjee

Here we have introduced the ideas of $(j - i) s g_{κ}^{*}$ -closed sets and a semi generalized closed set in a bispace; $i, j = 1, 2; i \neq = j$ and then have studied on pairwise semi $T_{0}$ -a…

math.GN2021

On rough $I^{*}$ and $I^{K}$ -convergence of sequences in normed linear spaces

Amar Kumar Banerjee, Anirban Paul

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 $I^{K}$ -convergenc…

math.GN2020

Paracompactness in a bispace

Amar Kumar Banerjee, Rahul Mondal

The idea of pairwise paracompactness was studied by many authors in a bitopological space. Here we study the same in the setting of more general structure of a bispace using the th…

math.GN2019

$s β_{λ}$ -Closed sets and some low separation axioms in GT-spaces

Jagannath Pal, Amar Kumar Banerjee

Here we have studied the ideas of $s g_{λ}, s λ$ and $s β_{λ}$ -closed sets and investigated some of their properties in generalized topological spaces. We have also studied some low sepa…

math.MG2019

Rough $I$ -convergence in cone metric spaces

Amar Kumar Banerjee, Anirban Paul

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…

On Ist- convergence in the space of reals

Rough I-statistical convergence in a partial metric space

Rough ideal convergence in a partial metric space

On sparse set topology using ideals in the space of reals

Statistical and rough statistical convergence in an S-metric space

Rough statistical convergence of sequences in a partial metric space

Rough convergence of sequences in Controlled Metric Type Spaces

On a generalized density point defined by families of sequences involving ideals

On some topology generated by I-density function

IνK​-Convergence of functions in probabilistic normed spaces

On weak IK-Cauchy sequences in normed spaces

Rough convergence of sequences in a partial metric space

On rough continuity and rough I-continuity of real functions

A study on I-localized sequences in S-metric spaces

On density topology using ideals in the space of reals

On I-convergence of sequences of functions and uniform conjugacy

SOME ASPECTS of sλ-Closed Sets on Separation Axioms And Compactness in GT-spaces

On I and I∗-equal convergence in linear 2-normed spaces

Ig∗-closed sets and its certain properties in σ-spaces with respect to an ideal

(j−i)sgκ∗​-closed sets and pairwise semi tω​-axiom in bispaces

On rough I∗ and IK-convergence of sequences in normed linear spaces

Paracompactness in a bispace

sβλ​-Closed sets and some low separation axioms in GT-spaces

Rough I-convergence in cone metric spaces

On $I^{s t}$ - convergence in the space of reals

Rough $I$ -statistical convergence in a partial metric space

On some topology generated by $I$ -density function

$I_{ν}^{K}$ -Convergence of functions in probabilistic normed spaces

On weak $I^{K}$ -Cauchy sequences in normed spaces

On rough continuity and rough $I$ -continuity of real functions

A study on $I$ -localized sequences in S-metric spaces

On $I$ -convergence of sequences of functions and uniform conjugacy

SOME ASPECTS of $s λ$ -Closed Sets on Separation Axioms And Compactness in GT-spaces

On $I$ and $I^{*}$ -equal convergence in linear $2$ -normed spaces

$I g^{*}$ -closed sets and its certain properties in $σ$ -spaces with respect to an ideal

$(j - i) s g_{κ}^{*}$ -closed sets and pairwise semi $t_{ω}$ -axiom in bispaces

On rough $I^{*}$ and $I^{K}$ -convergence of sequences in normed linear spaces

$s β_{λ}$ -Closed sets and some low separation axioms in GT-spaces

Rough $I$ -convergence in cone metric spaces