Distributional chaos and Li-Yorke chaos in metric spaces (1901.02736v2)

Abstract: In this paper, we introduce several new types and generalizations of the concepts distributional chaos and Li-Yorke chaos. We consider the general sequences of binary relations acting between metric spaces, while in a separate section we focus our attention to some special features of distributionally chaotic and Li-Yorke chaotic multivalued linear operators in Frechet spaces.