Hossein Rasuoli - Department of Mathematics, Islamic Azad University , Malayer branch, Malayer, Iran
Alireza Rezaie - Department of Mathematics, Islamic Azad University , Hamedan branch, Hamedan, Iran

In this paper we consider a map(...) in which X is a compact metric space and study the relation ofvarious concepts of expansivity such as uniformly expanding, uniformly weak expanding, localy expanding, locally weak expanding with h-shadowing property. Furthere more we give some examples for furthereillustration.