一致凸Banach空间内单调Lipsctitz算子的迭代方法

An Iterative Process for Monotone Lipschitzian Operators in Uniformly Convex Banach Spaces

设Ｘ是ｍ－一致凸Ｂａｎａｃｈ空间（ｍ＞１），Ｔ：Ｘ→Ｘ是具有Ｌｉｐｅｃｈｉｌｚ常数Ｌ≥１的单调Ｌｉｐｓｃｈｉｔｚ映象。给出了强收敛于方程ｘ＋Ｔｘ＝ｆ的解ｑ的迭代方法。

Suppose X is a m-uniformly convex Banach space(m>1).Lef T:X→X be a monotoneLipschitz mapping with constant L≥1. In this paper,the iterative sequence which converges strong-ly to a solution q of x+Tx=f is given.