A MEAN ERGODIC THEOREM FORASYMPTOTICALLY QUASI-NONEXPANSIVE AFFINEMAPPINGS IN BANACH SPACES SATISFYINGOPIAL S CONDITION

Our purpose is to prove that if C is a weakly compact convex subset. of a Banach space E satisfying Opial s condition and T : C C is an asymptotically quasi-noncxpansive affine mappingsuch that F(T) =Ф, then for all x E C, {T^n x} is weakly almost convergent.to some Z E F(T).