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.GN2025
On generalizations of some fixed point theorems in semimetric spaces with triangle functions
Evgeniy Petrov, Ruslan Salimov, Ravindra K. Bisht
In the present paper, we prove generalizations of Banach, Kannan, Chatterjea, ÄiriÄ-Reich-Rus fixed point theorems, as well as of the fixed point theorem for mappings contracting…