3 citations · 6 across the 9 of their papers we have counts for
12 papers
Best Proximity Point Results for Perimetric Contractions
Hiranmoy Garai, Evgeniy Petrov, Pratikshan Mondal +1
This paper has two aims, first one is to introduce special kind of proximal contractions guaranteeing a finite number of best proximity points, and second one is to derive best pro…
On a novel approach to nonexpansive mappings
Anish Banerjee, Hiranmoy Garai, Pratikshan Mondal +1
This paper seeks to advance the theory of nonexpansive mappings by introducing and exploring a novel class of nonexpansive type mappings, which we aptly designate as perimetric non…
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…
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…
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…