Abbas Fakhari, Fatomeh Helen Ghane, and Aliasghar Sarizadeh Damghan University of Basic Science, Ferdowsi University, and Islamic Azad University
Abstract : The article is devoted to exhibit some general properties of strong chain recurrent set and strong chain transitive components for a continuous map $f$ on a compact metric space $X$. We investigate the relation between the weak shadowing property and strong chain transitivity. It is shown that a continuous map $f$ from a compact metric space $X$ onto itself with the average shadowing property is strong chain transitive.
