Ebrahim Soori - Department of Mathematics, Lorestan University, P.O. Box ۴۶۵, Khoramabad, Lorestan, Iran
Ahmad Rezaee - Department of Mathematics, Payame Noor University, Khoramabad, Lorestan, Iran

The purpose of this paper is to study some new mean ergodic theorems for almost-orbits of C-semigroups ona Banach space by proving some strong convergence of some nets constructed by asymptotically invariantmeans and strongly right regular means on C(S) where S is asemitopological semigroups. Then we find animportant common fixed point for the set i.e., the C-semigroup of linear continuous operators on a Banachspace.