RANDOM MEASURE OF NON-COMPACTNESS IN PM-SPACES AND
APPLICATIONS
GH. Constantin
I. Istrǎtescu
Abstract: The aim of this note is to extend some results of [5] by introducing a
measure of non-compactness and a corresponding class of probabilistic condensing
multivalued mappings. A characterization of condensing mappings in the sense of
Himmelberg, Porter and Van Vleck [12] is given and some results on the existence of fixed
points with applications in the random multivalued operator equations are obtained.
2000 AMS Mathematics Subject Classification: Primary: -; Secondary: -;
Key words and phrases: -