严格伪压缩映像不动点的迭代逼近

On the Iterative Approximation Problem of Fixed Points for Strictly Pseudocontrative Mappings in Banach Spaces

设1<p≤2,K是实p-一致光滑的Banach空间X的非空有界闭凸子集,K+K K,T:K→K是严格伪压缩映像,且F(T)≠,Q是从X到K上的非扩张保核收缩,证明了修正的具误差的Ishikawa迭代序列强收敛到T的唯一不动点.

Let 1 〈 p≤2, suppose T is a strictly pseudocontrative self-mappings on a nonempty closed convex Onto bounded subset K of a real p-unlformly smooth Banach space X ,and has a fixed point, Q： X→^onto K is nonexpan- sive contraction operator, It is proved that the modified Ishikawa iterative sequence with errors converges strongly to the unique fixed point of T.