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

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 Gâteaux differentiable norm without weak sequential continuous duality mapping.