International Journal of Mathematics and Mathematical Sciences
Volume 31 (2002), Issue 10, Pages 611-617
doi:10.1155/S0161171202112257
Convergence theorems and stability results for Lipschitz strongly pseudocontractive operators
Zeqing Liu1
, Lili Zhang1
and Shin Min Kang3
1Department of Mathematics, Liaoning Normal University, P.O. Box 200, Liaoning, Dalian 116029, China
3Department of Mathematics, Gyeongsang National University, Chinju 660-701, Korea
Abstract
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.