3 citations · 13 across the 28 of their papers we have counts for
9 papers · 1 filter
On proximal contractions via implicit relations and best proximity points
Pratikshan Mondal, Hiranmoy Garai, Lakshmi Kanta Dey
In this paper, we employ two types of implicit relations to define some new kind of proximal contractions and study about their best proximity points. More precisely, we use two cl…
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…
Existence of Solutions to Non-linear Quadratic Integral Equations via Measure of Non-Compactness
Surajit Karmakar, Hiranmoy Garai, Lakshmi Kanta Dey +1
The objective of this manuscript is to enquire for the solvability of a specific type of non-linear quadratic integral equations via the interesting notion of measure of non-compac…
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 some enriched contractions in Banach spaces
Pratikshan Mondal, Hiranmoy Garai, Lakshmi Kanta Dey
In this paper, we introduce two new types of enriched contractions, viz., enriched -contraction and enriched -contraction. Then we obtain fixed points of…
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…