Approximating Fixed Points of Nonexpansive Mapping by Ishikawa Iteration Process in Banach Space
Li Wu · Journal of Jiangsu University of Science and Technology · 2007
Let X be a uniformly convex Banach space,whose dual space X* has the KK property.Let C be a bounded closed convex subset of X.Let T:C to C be a nonexpansive mapping.It is shown that for any initial guess x0∈C,the Ishikawa iteration {xn} defined by xn+1=tnT(snTxn +(1-sn)xn) +(1-tn)xn,n=0,1,2,… ,converges to a fixed points of T weakly,where {tn},{sn} are sequence in [0,1] with certain restrictions.