Strong Convergence for Asymptotically Nonexpansive Semigroups in Banach Spaces
Han Yun-zhi · Journal of Hebei Normal University · 2008
Convergence of sequences for an asymptotically nonexpansive semigroups S={S(t):t≥0} with F(S)≠ in Banach space is studied,proved the strong convergence of the sequence {xn} defined by xn=anx+(1-an)1tn∫tn0S(s)xnds,n=0,1,2,….