Banach空间中用带误差的Ishikawa迭代序列逼近强增生算子方程的解

Ishikawa Iterative Sequence with Errors Approximate the Solution of Strongly Accretive Operator Equations in Banach Spaces

本文在实的Banach空间中证明了带误差的Ishikawa迭代序列强收敛到强伪压缩算子T的不动点。并用带误差的Ishikawa迭代序列逼近强增生算子方程的解。推广文献[5]的结果到带误差的Ishikawa迭代序列。

In this paper, we prove that the Ishikawa iterative sequence with errors converges strongly to the fixed point of strongly pseud-ocontractive operator in real Banach spaces. And using the Ishikawa iterative sequences with errors approximate the solution of strongly accretive operator equations. The results presented in this paper extend the corresponding results in [ 5 ] to the Ishikawa iterative sequence with errors.