
The authors present some extensions of coincidence point theorems onto different classes of probabilistic metric spaces. More precisely they consider a hybrid pair of single- and multi-valued mappings in Menger and generalized Menger spaces, fuzzy metric spaces and Hicks spaces and they prove coincidence point theorems for such mappings under some generalized contractive conditions. The problem with the paper is that although the authors refer to the book [\textit{B. Schweizer} and \textit{A. Sklar}, Probabilistic metric spaces, North Holland Series in Probability Applied Mathematics, North-Holland (1983; Zbl 0546.60010)] they have not read it carefully enough. This is why they consider different classes of probabilistic metric spaces in the sense defined in [loc. cit.] instead of formulating more general results for such spaces or Serstnev spaces. They also seem to ignore some results of Istratescu and recent results of O. Hadzić.
coincidence point theorem, Fuzzy topology, probabilistic metric space, Fixed-point and coincidence theorems (topological aspects), multi-valued mapping, Probabilistic metric spaces, fuzzy metric space, Theory of fuzzy sets, etc., Set-valued maps in general topology
coincidence point theorem, Fuzzy topology, probabilistic metric space, Fixed-point and coincidence theorems (topological aspects), multi-valued mapping, Probabilistic metric spaces, fuzzy metric space, Theory of fuzzy sets, etc., Set-valued maps in general topology
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