ON KURATOWSKI MEASURE OF NONCOMPACTNESS IN R 2 WITH THE RIVER METRIC

Abstract

In this paper we onsider some properties of the Kuratowski measure of noncompatness on the space (R² , d^* ), where d^* is river metric. We prove the existence of the α-minimal sets in the given space, but also the strict minimalizability of the Kuratowski measure of noncompactness.