摘要
设X=L_p或l_p(p≥2),T:D(T)→X是局部Lipschitz和严格增殖算子.本文给出非线性方程T_x=y的解的叠代逼近并讨论了局部Lipschitz和严格伪收缩映射不动点的叠代逼近.
Suppose X = Lp (or lp) p>2, T:D(T)→X is a locally Lipschitzian and strictly accretive operator. In this paper, the iterative approximation of the solution of nonlinear equation Tx=y is given and the iterative approximation of a fixed point of a locally Lipschitzian and strictly pseudo-contractive mapping is discussed.
出处
《应用数学和力学》
EI
CSCD
北大核心
1991年第4期385-389,共5页
Applied Mathematics and Mechanics
关键词
非线性方程
增殖算子
叠代逼近
locally Lipschitzian operator, accretiveness, iterative approximation, pseudo-contraction, normalized duality mapping
