Evgeniy Petrov

activity

20242026

collaborators

4 papers

math.GN2026

Periodic point theorem for generalized graphic contractions

Evgeniy Petrov

Let $(X, d)$ be a nonempty metric space and let $n \in N^{+}$ . We shall say that $T : X \to X$ is a graphic contraction of order $n$ if there exists $I^\pm \in (0, 1)$ such that…

math.GN2025

Fixed point results for multipoint Kannan-type mappings

Ravindra K. Bisht, Evgeniy Petrov

We introduce and study a new type of mappings in metric spaces termed $n$ -point Kannan-type mappings. A fixed-point theorem is proved for these mappings. In general case such mappi…

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

Fixed point theorems for weak, partial, Bianchini and Chatterjea-Bianchini contractions in semimetric spaces with triangle functions

Ravindra K. Bisht, Evgen O. Petrov

This paper advances a line of research in fixed point theory initiated by M. Bessenyei and Z. PÃ¡les, building on their introduction of the triangle function concept in [J. Nonline…

Periodic point theorem for generalized graphic contractions

Fixed point results for multipoint Kannan-type mappings

Three point analogue of ÄiriÄ-Reich-Rus type mappings with non-unique fixed points

Fixed point theorems for weak, partial, Bianchini and Chatterjea-Bianchini contractions in semimetric spaces with triangle functions

Three point analogue of ÄiriÄ-Reich-Rus type mappings with non-unique fixed points