3 papers
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.FA2025
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…
math.FA2024
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…