4 papers · 1 filter
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…
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.
Some properties of operator-valued frames
L. Gavruta, P. Gavruta
Operator-valued frames (or g-frames) are generalizations of frames and fusion frames and have been used in packets encoding, quantum computing, theory of coherent states and more.…
On the Feichtinger Conjecture
P. Gavruta
We prove the Feichtinger Conjecture for a class of Bessel sequences of unit norm vectors in a Hilbert space. Also, we prove that every Bessel sequence of unit vectors in a Hilbert…