局部Lipschitz方程解的叠代逼近
Iterative Approximation of the Solution of a Locally Lipschitzian Equation
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摘要: 设X=Lp或lp(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Tx=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.
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关键词:
- 局部Lipschitz算子 /
- 增殖性 /
- 叠代逼近 /
- 伪收缩 /
- 规范化对偶映射
Abstract: 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. -
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