[EN] We present a novel result that, in a certain sense, generalizes the Arzelà-Ascoli theorem. Our main tool will be the so called degree of nondensifiability, which is not a measure of noncompactness but canbe used as ...

[EN] In the present paper we introduce a generalization of the complete invariance property (CIP) for metric spaces, which we will call the εapproximated complete invariance property (ε-ACIP). For our goals, we will use ...