Ishikawa Iterative Approximation for Fixed Point with Mixed Mapping in Banach Spaces
Zhiming Wang · Shuxue de shijian yu renshi · 2007
Suppose that E is an uniformly smooth real Banach space,and K is a nonempty closed convex subset of E,T:K→K is Φ-strongly pseudocontrictive mapping,and T=T1+T2,T1:K→K is Lipschitz mapping,T2:K→K is a continuous mapping with the bounded range R(T).Let {αn}∞n=0 and {βn}∞n=0 be two real sequences in satisfying suitable conditions,then Ishikawa iterative process {xn}∞n=0 converges strongly to the unique fixed point of T.