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math.FA2016
Darbo-type theorem for quasimeasure of noncompactness
Mateusz Krukowski
The paper introduces the concept of quasimeasure of noncompactness. Motivated by the Arzelà-Ascoli theorem for , where is an Euclidean space and an arbitrary Bana…
math.FA2016
Arzelà-Ascoli theorem in uniform spaces
Mateusz Krukowski
In the paper, we generalize the Arzelà-Ascoli theorem in the setting of uniform spaces. At first, we recall well-known facts and theorems coming from monographs of Kelley and Willa…