Ishikawa Iteration Process with Errors for Approximate Solutions to Equatoins of Lipschitz Strongly Accretive Operators
Zeng Lu-chuan · Acta Analysis Functionalis Applicata · 2002
Let E be an arbitrary real Banach space, and T :E- E be a Lipschitz strongly accretive operator. It is shown that the Ishikawa iterative sequences with errors converge strongly to the unique solution of the equation Tx=f. In particular, the convergence rate estimates are also given for the Ishikawa iterative sequences. On the other hand, a related result discusses the convergence of the Ishikawa iterative sequences with errors for fixed points of Lipschitz strongly pseudocontractive mappings in E.