Convergence theorems and stability results for Lipschitz strongly pseudocontractive operators

Suppose that X is an arbitrary real Banach space and T:X→X is a Lipschitz strongly pseudocontractive operator. It is proved that under certain conditions the Ishikawa iterative method with errors converges strongly to the fixed point of T and this iteration procedure is stable with respect to T.

Bibliographic Details
Main Authors: Zeqing Liu, Lili Zhang, Shin Min Kang
Format: Article
Language:English
Published: Hindawi Limited 2002-01-01
Series:International Journal of Mathematics and Mathematical Sciences
Online Access:http://dx.doi.org/10.1155/S0161171202112257