关于Ishikawa迭代程序稳定性的注释

Remark on Stability of Ishikawa Iterative Procedures

1.
Department of Basic Science, Shijiazhuang Railway College, Shijiazhuang 050043, P R China;
2.
Shijiazhuang Foreign Occupation Technology College, Shijiazhuang 050002, P R China

摘要: 在实一致光滑Banach空间中,研究了一类具有值域有界、连续强伪压缩算子和连续强增生算子的Ishikawa迭代程序的稳定性;给出了迭代程序中参数所满足的条件,并证明了迭代过程的收敛性。所得结果改进和扩展近期相关结果,为进一步讨论带误差迭代程序的收敛性提供理论依据。
- Ishikawa迭代 /
- 强伪压缩算子 /
- 一致光滑Banach空间 /
- 几乎T-稳定
Abstract: The stability of the Ishikawa iteration procedures was studied for one class of continuity strong pseudocontraction and continuity strongly accretive operators with bounded range in real uniformly smooth Banach space. Under parameters satisfying certain conditions, the convergence of iterative sequences was proved. The results improve and extend the recent corresponding results, and supply the basis of theory for further discussing convergence of iteration procedures with errors.
- Ishikawa iteration /
- strongly pseudo-contractive operator /
- uniformly smooth Banach space /
- almost T-stable

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