局部Lipschitz方程解的叠代逼近

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Iterative Approximation of the Solution of a Locally Lipschitzian Equation

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.
- 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=L_p(or l_p),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.
- locally Lipschitzian operator /
- accretiveness /
- iterative approximation /
- pseudo-contraction /
- normalized duality mapping

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