6 citations · 10 across the 5 of their papers we have counts for
5 papers · 1 filter
Periodic point theorem for generalized graphic contractions
Evgeniy Petrov
Let be a nonempty metric space and let . We shall say that is a graphic contraction of order if there exists such that t…
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 -point Kannan-type mappings. A fixed-point theorem is proved for these mappings. In general case such mappi…
Three point analogue of Ćirić-Reich-Rus type mappings with non-unique fixed points
Ravindra K. Bisht, Evgeniy Petrov
In this paper, we introduce a three-point analogue of Ćirić-Reich-Rus type mappings, termed as generalized Ćirić-Reich-Rus type mappings. We demonstrate that these mappings general…
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. Páles, building on their introduction of the triangle function concept in [J. Nonlinea…
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…