在非自反的Banach空间中给出了(Г)类渐近非扩张映射在τ-序列紧凸集上的不动点存在定理,从而得到了更一般性的τ-遍历收敛定理,主要结论进一步推广了渐近非扩张映射遍历理论的应用范围.
This paper gives the fixed point theorem in Banach space for asymptotically nonexpansive mapping of (Г) class, thus gets a more universal ergodic convergence theorem. Simultaneously the main conclusion made in the paper extends the fields of application of ergodic theory.