m-增生非线性算子方程的迭代方法

Iteration methods for nonlinear operator equations of the m accretive type

设Ｘ是ｐ一致凸和一致光滑的Ｂａｎａｃｈ空间，Ｔ：Ｄ（Ｔ）→Ｘ是Ｌｉｐｓｃｈｉｔｚ的ｍ增生算子，其中Ｔ的定义域Ｄ（Ｔ）是Ｘ的闭真子集，文中研究了逼近非线性方程ｘ＋Ｔｘ＝ｆ解的方法。

Let X be a real Banach space which is both p uniformly convex and uniformly smooth, T:D(T)X be a Lipschitzian m accretive operator. Under the natural setting that the domain of T , D(T) is a proper subset of X ,method of approximating a solution of the equation x+Tx=f is studied. The results extend several known results.