On some results related to the Karlsson–Nussbaum conjecture in geodesic spaces

Abstract

AbstractWe show a Wolff–Denjoy type theorem in the case of a one-parameter continuous semigroup of nonexpansive mappings in which there is a compact mapping. Using the notion of attractor, we are also able to prove some specific properties directly related to the Karlsson–Nussbaum conjecture.