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


Department of Mathematics, Islamic Azad University{Sari Branch, Sari, Iran.


In this paper we propose and studied a new composite iterative scheme with certain control con-
ditions for viscosity approximation for a zero of accretive operator and xed points problems in a
reflexive Banach space with weakly continuous duality mapping. Strong convergence of the sequence
fxng de ned by the new introduced iterative sequence is proved. The main results improve and
complement the corresponding results of [1, 4, 10].