11 citations · 17 across the 3 of their papers we have counts for
3 papers · 1 filter
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-geo…
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, Ćirić-Reich-Rus fixed point theorems, as well as of the fixed point theorem for mappings contracting p…
On three-point generalizations of Banach and Edelstein fixed point theorems
Christian Bey, Evgeniy Petrov, Ruslan Salimov
Let be a metric space. Recently in~[1] it was considered a new type of mappings which can be characterized as mappings contracting perimeters of triangles. The…