Applied Mathematics and Mechanics (English Edition) ›› 2002, Vol. 23 ›› Issue (12): 1472-1476.

• 论文 • 上一篇    

REMARK ON STABILITY OF ISHIKAWA ITERATIVE PROCEDURES

薛志群1, 田虹2   

  1. 1. Department of Basic Science, Shijiazhuang Railway College, Shijiazhuang 050043, P. R. China;
    2. Shijiazhuang Foreign Occupation Technology College, Shijiazhuang 050002, P. R. China
  • 收稿日期:1999-10-08 修回日期:2002-06-07 出版日期:2002-12-18 发布日期:2002-12-18

REMARK ON STABILITY OF ISHIKAWA ITERATIVE PROCEDURES

XUE Zhi-qun1, TIAN Hong2   

  1. 1. Department of Basic Science, Shijiazhuang Railway College, Shijiazhuang 050043, P. R. China;
    2. Shijiazhuang Foreign Occupation Technology College, Shijiazhuang 050002, P. R. China
  • Received:1999-10-08 Revised:2002-06-07 Online:2002-12-18 Published:2002-12-18

摘要: 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.

关键词: Ishikawa iteration, strongly pseudo-contractive operator, uniformly smooth Banach space, almost T-stable

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.

Key words: Ishikawa iteration, strongly pseudo-contractive operator, uniformly smooth Banach space, almost T-stable

中图分类号: 

APS Journals | CSTAM Journals | AMS Journals | EMS Journals | ASME Journals