Convergence theorems of iterative approximation for finding zeros of accretive operator and fixed points problems

In this paper we propose and studied a new composite iterative scheme with certain control conditions for viscosity approximation for a zero of accretive operator and fixed points problems in a reflexive Banach space with weakly continuous duality mapping. Strong convergence of the sequence \{x_n\} defined by the new introduced iterative sequence is proved. The main results improve and complement the corresponding results of [۱, ۴, ۱۰].

Keywords:

Accretive operator , fixed points , Composite iterative schemes , Resolvent operator