p－一致平滑空间局部Lipschitz方程解的迭代逼近

ITERATIVE APPROXIMATION OF THE SOLUTION OF A LOCAL LIPSCHITZIAN EGUATION IN P-UNIFORM SMOOTH SPACE

设Ｘ为ｐ－一致平滑的Ｂａｎａｃｈ空间，ｐ∈［１，２］，Ｔ：Ｄ（Ｔ）→Ｘ是局部Ｌｉｐｓｃｈｉｔｚ和严格增殖算子，本文给出了非线性方程ＴＸ＝Ｙ的解的迭代逼近，所得结果推广了文［１］的主要结果。

Suppose X is a p-uniform Smooth Banach space, p∈(1,2],T: D(T)→X is a local Lipschitzian and strict accretiye operator,in this paper,the iterative approximation of the solution of nonlinear equation Tx=gis given. this result is also the generalization of main results of the reference article 1.