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math.FA2025
On the connections between -contractions and Meir-Keeler contractions
Laura Manolescu, Pasc Gavruta
In this paper, we resolve an open problem concerning the connection between -contractions (Wardowski contractions) and Meir-Keeler contractions. We prove that for a nondecreasin…
math.FA2022
Fixed points and the stability of the linear functional equations in a single variable
Liviu Cadariu, Laura Manolescu
We prove that an interesting result concerning generalized Hyers-Ulam-Rassias stability of a linear functional equation obtained in 2014 by S.M. Jung, D. Popa and M.T. Rassias in J…
math.FA2020
New classes of Picard operators
Pasc Gavruta, Laura Manolescu
In this paper, we give new results concerning the existence of Picard operators on complete metric spaces.