Convergence rates in regularization for a system of nonlinear ill-posed equations with m -accretive operators

摘要

In this paper, we study an operator version of the modified Browder-Tikhonov regularization method for finding a common solution for a system of ill-posed operator equations involving m-accretive operators A i , i = 0 , … , N , in a reflexive Banach space. The convergence rates of the regularized solutions are estimated not only in the infinite-dimensional space, but also in connection with its finite-dimensional approximations without the weakly sequential continuity of the dual mapping. MSC:47H17, 47H20.