1 citations · 2 across the 12 of their papers we have counts for
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Characterization of -compact sets via statistically convergent sequences
Susmita Seal, Sumit Som, Sudeshna Basu +1
In this paper, we study stability of -compactness for sum of Banach spaces for . We also obtain a characterization of -compact sets in terms of statisti…
Best proximity point results in topological spaces and extension of Banach contraction principle
Sumit Som, Supriti Laha, Lakshmi Kanta Dey
In this paper, we introduce the notion of topologically Banach contraction mapping defined on an arbitrary topological space X with the help of a continuous function $g:X\times X\r…
On new existence of a unique common solution to a pair of non-linear matrix equations
Hiranmoy Garai, Lakshmi Kanta Dey, Wutiphol Sintunavarat +2
The main goal of this article is to study the existence of a unique positive definite common solution to a pair of matrix equations of the form \begin{eqnarray*} X^r=Q_1 + \display…
Farthest Point Problem and Partial Statistical Continuity in Normed Linear Spaces
Sumit Som, Lakshmi Kanta Dey, Sudeshna Basu
In this paper, we prove that if is a uniquely remotal subset of a real normed linear space such that has a Chebyshev center and the farthest point map $F:X\ri…
Some remarks on the metrizability of some well known generalized metric-like structures
Sumit Som, Adrian Petrusel, Lakshmi Kanta Dey
In \cite[\, An, V.T., Tuyen, Q.L. and Dung, V.N., Stone-type theorem on -metric spaces and applications, Topology Appl. 185-186 (2015), 50-64.]{an}, An et al. had provided a suf…
A generalization of the density zero ideal
Sumit Som
Let be a sequence of nonempty finite subsets of such that and define the ideal $$\mathcal{I}(\mathscr{F}):=\left\{A\subseteq ω: |A\cap…