Asymptotic behavior of nonexpansive sequences and mean points

Let E be a real Banach space with norm \\.\\ and let {x(n)}(n greater than or equal to 0) be a nonexpansive sequence in E (i.e., \\x(i)+1-x(j)+(1)\\ less than or equal to \\x(i)-x(j)\\ for all i, j greater than or equal to 0). Let K = boolean AND(n=1)(infinity) <(co)over bar>{{x(i)-x(i-1)}(i greater than or equal to n}). We deal with the mean point of {x(n)/n} concerning a Banach limit. mie Show that if E is reflexive and d = d(0, K), then d = d(0,<(co)over bar>{x(n)-x(0)/n}) and there exists a unique point z(0) with \\z(0)\\ = d such that z(0) is an element of <(co)over bar>{x(n)-x(0)/n}. This result is applied to obtain the weak and strong convergence of {x(n)/n}.