Iterative process with errors to nonlinear Ф-strongly accretive operator equations in arbitrary Banach spaces

AbstractLet X be an arbitrary Banach space and T : D(T) ⊂ X → X be a Lipschitz ф-strongly accretive operator with domain D(T) and range R(T). The Mann and Ishikawa type iterative sequences with errors which strongly converge to the unique solution of the equation Tx = f under weaker conditions are given. The related results deal with the problems that the Mann and Ishikawa iterative sequences with errors strongly converge to the unique fixed point of Lipschitz ф-hemicontractive operators