Article ID Journal Published Year Pages File Type
4659931 Topology and its Applications 2012 9 Pages PDF
Abstract

Let f be a continuous map of a compact metric space. Assuming shadowing for f we relate the average shadowing property of f to transitivity and its variants. Our results extend and complete the work of Sakai [K. Sakai, Various shadowing properties for positively expansive maps, Topology Appl. 131 (2003) 15–31].

Related Topics
Physical Sciences and Engineering Mathematics Geometry and Topology