HUANG Zhen-yu. Ishikawa Iterative Process in Uniformly Smooth Banach Spaces[J]. Applied Mathematics and Mechanics, 2001, 22(11): 1177-1180.
Citation: HUANG Zhen-yu. Ishikawa Iterative Process in Uniformly Smooth Banach Spaces[J]. Applied Mathematics and Mechanics, 2001, 22(11): 1177-1180.

Ishikawa Iterative Process in Uniformly Smooth Banach Spaces

  • Received Date: 1999-06-08
  • Rev Recd Date: 2001-03-20
  • Publish Date: 2001-11-15
  • Let E be a uniformly smooth Banach space,K be a nonempty closed convex subset of E, and suppose:T:KK is a continuous 5-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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