3 citations · 13 across the 28 of their papers we have counts for
29 papers
Study of Existence and Stability of Fixed Points of Hypotenuse Contracting Mappings with Applications to Parabolic PDE
Kushal Roy, Anish Banerjee, Lakshmi Kanta Dey
In this article, we introduce a novel class of mappings identified by their property of contracting the hypotenuse of a right-angled triangle in the setting of metric spaces. We es…
Unlocking novel topological structures via rough families
Sourav Mandal, Lakshmi Kanta Dey, Pratikshan Mondal
Very recently, the notion of rough family has been introduced in [Leonetti, P., J. Convex Anal. 32(4):1083-1090, 2025] to explore rough ideal convergence in topological spaces wher…
On the geometry of -norm
Lakshmi Kanta Dey, Subhadip Pal
Let and be Banach spaces and let with . We study the geometry of -(semi-)norm on , defined by \[ \|T\|_G := \inf_{δ>0}\sup\{\|Tx\|: \|x\|…
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…
Perimetric contraction on quadrilaterals and related fixed point results
Anish Banerjee, Pratikshan Mondal, Lakshmi Kanta Dey
In this article, we introduce a four-point analogue of Banach-type, Kannan-type, and Chatterjea-type contractions, and examine their properties. We establish sufficient conditions…