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math.GN2024★ 3 cited
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…
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…