38 citations · 90 across the 18 of their papers we have counts for
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math.GN2023★ 38 cited
Fixed point theorem for mappings contracting perimeters of triangles
Evgeniy Petrov
We consider a new type of mappings in metric spaces which can be characterized as mappings contracting perimeters of triangles. It is shown that such mappings are continuous. The f…
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…