Abstract

We give one example for a one-parameter nonexpansive semigroup. This example shows that there exists a one-parameter nonexpansive semigroup {T(t):t0} on a closed convex subset C of a Banach space E such that limt(1/t)0tT(s)xdsx=0 for some xC, which is not a common fixed point of {T(t):t0}.