REGULARIZATION OF NONLINEAR ILL-POSED EQUATIONS WITH ACCRETIVE OPERATORS

We study the regularization methods for solving equations with arbitrary accretive op-erators. We establish the strong convergence of these methods and their stability with respect to perturbations of operators and constraint sets in Banach spaces. Our research is motivated by the fact that the fixed point problems with nonexpansive mappings are namely reduced to such equations. Other important examples of applications are evolu-tion equations and co-variational inequalities in Banach spaces