Devaney’s chaotic on induced maps of hyperspace

Abstract Let ( X ,  d ) be a metric space and let f  :  X  →  X be a continuous map. In Section 2, the relationships among the chaoticity of f ¯ , f ˜ and f are investigated while 2 X , C ( X ) are taken W e -topology. In Section 3, the relationships among the chaoticity of f ¯ , f ˜ , and f are investigated while X is a graph.