摘要
证明当T是Q一致光滑Banach空间X的有界闭凸子集到自身的严格伪压缩映象时,Ishikawa迭代法强收敛到T的唯一不动点;又当T∶XX是强增生算子时,Ishikawa迭代法强收敛到方程Tx=f的唯一解。
Let 1>Q,xk be nonempty close convex subset and X be a real Q-uniformly smooth Banach space. Let KKT: be strictly pseudocontractive mapping. It is proved that Ishikawa iteration process converges strongly to the unique fixed point of T. A related result deals with the approximation of the unique solution of the equation Tx=f, under XXT:is strongly accretive operators.
关键词
严格伪压缩
不动点
近似逼近
强增生算子
BANACH空间
strictly pseudocontractive mapping strongly accretive operator fixed point uniformly smooth Banach spaces
