DOI: 10.24193/fpt-ro.2025.1.01

Authors: Aram V. Arutyunov and Valeri Obukhovskii

Abstract: We define the notion of a covering (single-valued and multivalued) map of probabilistic metric spaces and prove analogs of the results of papers [2], [3] on coincidence points of Lipschitz and covering maps. As application, we consider the solvability of a system of equations and the existence of a solution for a feedback control system in a probabilistic normed space.

Key Words and Phrases: Probabilistic metric space, Menger space, covering map, Lipschitz map, multivalued map, coincidence point, fixed point.

2010 Mathematics Subject Classification: 54H25, 47H09, 46S50.

Published on-line: February 1st, 2025.

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