4 papers
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…