Applied Mathematics and Mechanics (English Edition) ›› 2001, Vol. 22 ›› Issue (11): 1306-1310.

• 论文 • 上一篇    下一篇

ISHIKAWA ITERATIVE PROCESS IN UNIFORMLY SMOOTH BANACH SPACES

黄震宇   

  1. Department of Mathematics, Nanjing University, Nanjing 210093, P.R.China
  • 收稿日期:1999-06-08 修回日期:2001-03-20 出版日期:2001-11-18 发布日期:2001-11-18
  • 通讯作者: DING Xie-ping
  • 基金资助:
    the National Natural Science Foundation of China (19801017)

ISHIKAWA ITERATIVE PROCESS IN UNIFORMLY SMOOTH BANACH SPACES

HUANG Zhen-yu   

  1. Department of Mathematics, Nanjing University, Nanjing 210093, P.R.China
  • Received:1999-06-08 Revised:2001-03-20 Online:2001-11-18 Published:2001-11-18
  • Supported by:
    the National Natural Science Foundation of China (19801017)

摘要: Let E be a uniformly smooth Banach space, K be a nonempty closed convex subset of E, and suppose: T:KK is a continuous Φ-strongly pseudocontractive operator with a bounded range. Using a new analytical method, under general cases, the Ishikawa iterative process {xn} converges strongly to the unique fixed point x* of the operator T were proved. The paper generalizes and extends a lot of recent corresponding results.

Abstract: Let E be a uniformly smooth Banach space, K be a nonempty closed convex subset of E, and suppose: T:KK is a continuous Φ-strongly pseudocontractive operator with a bounded range. Using a new analytical method, under general cases, the Ishikawa iterative process {xn} converges strongly to the unique fixed point x* of the operator T were proved. The paper generalizes and extends a lot of recent corresponding results.

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