Strong Convergence Theorems Of Cesaro Mean Iterations Of Nonexpansive Mappings
Yi Shuai Yang, Jing Jing Li, Yun An Cui · 2009
In a reflexive and strictly convex Banach space which has uniformly Gâteaux differentiable norm, we consider the problem of the convergence of the Cesàro mean iterations for non-expansive mappings. Under suitable conditions, it was proved that the iterative sequence converges strongly to a fixed point. The results presented in this paper also extend and improve some recent results. 1