3 citations · 9 across the 12 of their papers we have counts for
10 papers · 1 filter
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…
Topological developments of -metric spaces
Ashis Bera, Lakshmi Kanta Dey, Hiranmoy Garai +1
In this manuscript, we claim that the newly introduced -metric spaces are Hausdorff and also first countable. Moreover, we assert that every separable -me…
Common solution to a pair of non-linear matrix equations via fixed point results
Hiranmoy Garai, Lakshmi Kanta Dey
In this article, we propose an idea to develop some sufficient conditions for the existence and uniqueness of a positive definite common solution to a pair of non-linear matrix equ…
The contractive principle for mappings in -metric spaces
Hiranmoy Garai, Lakshmi Kanta Dey, Pratikshan Mondal
In this article, we introduce the notions of sequentially compactness and boundedly compactness in the framework of a newly defined -metric space which is a generalization…
Positive solution to fractional thermostat model in Banach spaces via fixed point results
Hiranmoy Garai, Lakshmi Kanta Dey, Ankush Chanda
The motive behind this manuscript is to set up the existence and uniqueness of a positive solution for a fractional thermostat model for certain values of the parameter . We a…
A study on Kannan type contractive mappings
Hiranmoy Garai, Tanusri Senapati, Lakshmi Kanta Dey
In this article, we consider Kannan type contractive self-map on a metric space such that \[d(Tx,Ty)<\frac{1}{2}\{d(x,Tx)+d(y,Ty)\} \mbox{ for all } x \neq y \in X, \]…