Regularization methods for nonlinear Ill-posed equations involving m-accretive mappings in Banach spaces

摘要

In this paper we prove strong convergence of the Browder-Tikhonov regularization method and the regularization inertial proximal point algorithm to a solution of nonlinear ill-posed equations involving m-accretive mappings in real, reflexive, and strictly convex Banach spaces with a uniformly Gateaux differentiable norm without weak sequential continuous duality mapping.