The viscosity approximation forward-backward splitting method for solving quasi inclusion problems in Banach spaces

Abstract

In this paper, we introduce viscosity approximation forward-backward splitting method for an accretive operator and an m-accretive operator in Banach spaces. The strong convergence of this viscosity method is proved under certain assumptions imposed on the sequence of parameters. Applications to the minimization optimization problem and the linear inverse problem are included. The results presented in the paper extend and improve some recent results announced in the current literature.