一类大线性映象的Lshikawa迭代过程

Ishikawa Iterative Process for Strong Pseudo-contractive Mappings

设K是一致光滑Banach空间X的非空界闭凸子集 ,T :K→K是强伪压缩映象 ,本文给出一个Ishikaw迭代序列强收敛到T的唯一不动点 ,并给出一个涉及m -增生映象T的非线性方程x +Tx =f的解的迭代逼近 。

Suppose that K is a nonempty closed convex and bounded subset of uniformly smooth Banach space X and let T: K→K be a strongly pseudo-contractive mapping. Given the Ishikawa iteration sequence which converges strongly to the unique fixed point of T. and the Ishikawa iterative process which converges strongly to solution of the equation X+Tx=f when T is m-accretive mapping in X, this paper gets a result corresponding to and extending the results that have been achieved recently.