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20132025
most citedFixed point theorem for generalized Kannan type mappings

15 citations · 38 across the 5 of their papers we have counts for

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5 papers

math.GN2025★ 6 cited

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…

math.GN2025★ 11 cited

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…

math.GN2024★ 1 cited

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…

math.GN2023★ 15 cited

Fixed point theorem for generalized Kannan type mappings

Evgeniy Petrov, Ravindra K. Bisht

We introduce a new type of mappings in metric spaces which are three-point analogue of the well-known Kannan type mappings and call them generalized Kannan type mappings. It is sho…

math.FA2013★ 5 cited

Common fixed points for pairs of mappings with variable contractive parameters

J. R. Morales, E. M. Rojas

In this paper, we establish some common fixed point results for a new class of pair of contractions mappings having functions as contractive parameters, and satisfying certain comm…