4 papers · 1 filter
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\…
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…
Generalized Baker's result and stability of functional equations using fixed point results
Supriti Laha, Lakshmi Kanta Dey
Hyre-Ulam stability of functional equation in single variable is studied in non-triangular metric spaces. We derive it as applications of some fixed point results developed on the…