Halpern iteration of Ces` aro means for asymptotically nonexpansive mappings
Qingnian Zhang, Yisheng Song · 2011
Using a new proof technique which is independent of the approximation fixed point of T (limn!1kxn Txnk = 0) and the convergence of the Browder type iteration path (zt = tu + (1 t)Tzt), the strong convergence of the Halpern iterationfxng of Cesmeans for asymptotically nonexpansive self-mappings T , defined by xn+1 =