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math.GN2024
The existence of continuations for different types of metrics
Evgeniy Petrov
The problems of continuation of a partially defined metric and a partially defined ultrametric were considered in (O. Dovgoshey, O. Martio and M. Vuorinen, Metrization of weighted…
math.GN2024
Perimetric Contraction on Polygons and Related Fixed Point Theorems
Mi Zhou, Evgeniy Petrov
In the present paper, a new type of mappings called perimetric contractions on -polygons is introduced. These contractions can be viewed as a generalization of mappings that con…