Ishikawa type iterative sequences with errors for the fixed point of Lipschitzian strongly pseudocontractive mappings in Banach spaces
Yang Ze-heng · Journal of Yunnan Normal University · 2004
Let X be a closed subspace of a real Banach space E , and T:X→X be a Lipschizian strongly pseudocontractive mapping with fixed point x~* . Under more general condition for α_n and β_n ,it is shown that the Ishikawa type iterative sequence with errors converges strongly to x~* and it is also shown that the Ishikawa type iterative sequence with errors converges strongly to the unique solution of the equation Tx=f when T:E→E is a Lipschizian strongly accretive operator. The results of this paper improve improve and extend the corresponding results in [1].