2 papers
math.GN2026
Arithmetic-geometric mean, additive, and multiplicative contractions: New generalizations of the Banach contraction principle
Irom Shashikanta Singh, Yumnam Mahendra Singh, Evgeniy Petrov +1
We introduce new contraction conditions based on classical inequality between arithmetic and geometric means. By incorporating an auxiliary semimetric , we define arithmetic-ge…
math.GN2026
-Contraction with an Auxiliary Function and Its Application to Terrain-Following Airplane Navigation
Irom Shashikanta Singh, Yumnam Mahendra Singh
This paper aims to integrate the concepts of -contraction and -contraction within the context of super metric spaces. Specifically, we introduce the concepts of -contr…