Error bounds for approximation solutions to nonlinear equations of strongly accretive operators in uniformly smooth Banach spaces

[摘要] Let X be a uniformly smooth Banach space and T: X --> X a strongly accretive operator. In this paper, we give the error bounds for the approximation solutions of the nonlinear equation Tx = f generated by both the Mann and the Ishikawa iteration process. On the other hand, let K be a nonempty convex subset of X and T: K --> K a strictly pseudocontractive mapping. The related results deal with the error bounds for the iterative approximation of the fixed point of T generated by these two processes. (C) 1997 Academic Press.

[发布日期] 1997-05-01