3 papers
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…
math.GN2024
Three point analogue of ÄiriÄ-Reich-Rus type mappings with non-unique fixed points
Ravindra K. Bisht, Evgeniy Petrov
In this paper, we introduce a three-point analogue of ÄiriÄ-Reich-Rus type mappings, termed as generalized ÄiriÄ-Reich-Rus type mappings. We demonstrate that these mappings gen…
math.GN2024
A three point extension of Chatterjea's fixed point theorem with at most two fixed points
Ravindra K. Bisht, Evgeniy Petrov
In this paper, we introduce a new category of mappings within metric spaces, specifically focusing on three-point analogs of the well-established Chatterjea type mappings. We demon…