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

We show a Wolff-Denjoy type theorem in the case of a one-parameter continuous semigroups 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.Comment: 17 pages. arXiv admin note: text overlap with arXiv:2105.0550