Ishikawa Iterative Process for Constructing Solutions of m-Accretive Operator Equations
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摘要: 设X是一致光滑Banach空间,T:D(T)⊂X→X是具闭的定义域D(T)的m-增生算子。不经假设值域R(T)有界与对[0,1]中序列{βn}作任何限制,就表征了用于构造m-增生算子方程x+Tx=f的解的具误差的Ishikawa迭代序列的收敛性。而且,若T还是局部Lipschitz算子,则给出了m-增生算子方程x+Tx=f的逼近解的误差估计。
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关键词:
- m-增生算子 /
- Ishikawa迭代序列 /
- 一致光滑Banach空间
Abstract: The convergence of the Ishikawa iteration sequences with errors for constructing solutions of m-accretive operator equations is characterized.Moreover,the error estimates of approximate solutions for locally Lipschitzian and m-accretive operator equations are established. -
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