8 citations · 10 across the 15 of their papers we have counts for
17 papers
A note on remotal and uniquely remotal sets in normed linear spaces
Uddalak Mukherjee, Sumit Som
Remotal and uniquely remotal sets play an important role in the area of farthest point problem as well as nearest point problem in a Banach space In this study, we find some s…
Relation-Theoretic Banach Contraction Principle in Topological Spaces with an Application
Md Hasanuzzaman, Abhishikta Das, Sumit Som
In this article, we extend several relation-theoretic notions to topological spaces. We introduce relation preserving contraction mapping into topological spaces and utilize the sa…
A note on the paper "Best proximity point of generalized -proximal non-self contractions
Sumit Som
In the year 2021, Beg et al. \cite{beg} [J. Fixed Point Theory Appl.(2021)] introduced two classes of non-self mappings namely, generalized -proximal contraction of the first ki…
A remark on the paper "A note on the paper Best proximity point results for -proximal contractions"
Sumit Som
Recently, In the year 2020, Altun et al. \cite{AL} introduced the notion of -proximal contractions and discussed about best proximity point results for this class of mappings. T…
A note on best proximity point for proximal contraction
Sumit Som
In the year 2011, S.Basha \cite{BS} introduced the notion of proximal contraction in a metric space and study the existence and uniqueness of best proximity point for this clas…
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…