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math.GN2019
Metrizability of -metric space and -metric space via Chittenden's metrization theorem
Sumit Som
In [An, V.T., Tuyen, Q.L., Dung, V.N., Stone-type theorem on -metric spaces and applications, Topology Appl. 185-186 (2015) 50-64], Tran Van An et al. provide a sufficient condi…
math.GN2019
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…
math.GN2019
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]{…