L. Dey

activity

20162026

most citedOn some enriched contractions in Banach spaces

3 citations · 13 across the 28 of their papers we have counts for

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Showing 2026 · math.FAShow all

2 papers · 2 filters

math.FA2026

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…

math.FA2026

On the geometry of $G$ -norm

Lakshmi Kanta Dey, Subhadip Pal

Let $X$ and $Y$ be Banach spaces and let $G \in L (X, Y)$ with $∥ G ∥ = 1$ . We study the geometry of $G$ -(semi-)norm on $L (X, Y)$ , defined by \[ \|T\|_G := \inf_{δ>0}\sup\{\|Tx\|: \|x\|…

Study of Existence and Stability of Fixed Points of Hypotenuse Contracting Mappings with Applications to Parabolic PDE

On the geometry of G-norm

On the geometry of $G$ -norm