Ishikawa Iteration Process with Errors in Banach Spaces
Jin Mao · Journal of Southwest China Normal University · 2003
Let E be an arbitrary real Banach space and K be a nonempty colssed subset of E. Let T: KK be a Lipschitz strictly pseudocontractive mapping. We prove the Ishikawa iterative sequence with errors converges strongly to the unique fixed point of T. Furthermore, in a related result, it is shown that if I: EE is a Lipschitz strongry accretive operator, then the Ishikawa iterative sequence with errors converges strongly to the unique solution of the equation Tx=f.