3 citations · 7 across the 14 of their papers we have counts for
4 papers · 1 filter
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…
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 short proof of the metrizability of -metric spaces
Sumit Som, Lakshmi Kanta Dey
The main purpose of this manuscript is to provide a short proof of the metrizability of -metric spaces introduced by Jleli and Samet in \cite[\, Jleli, M. and Samet, B…
Cantor's intersection theorem in the setting of -metric spaces
Sumit Som, Lakshmi Kanta Dey
This paper deals with an open problem posed by Jleli and Samet in \cite[\, M.~Jleli and B.~Samet, On a new generalization of metric spaces, J. Fixed Point Theory Appl, 20(3) 2018]{…