convergence theorems for a general class of nonexpansive mappings in banach spaces

In this paper, we introduce a new iteration process for the approximation of fixed points. we show that our iteration process is faster than the existing iteration processes like the m-iteration process and the k-iteration process for contraction mappings. also, we prove that the new iteration process is stable. finally, we study the convergence of a new iterative scheme to a fixed point for the (α, β) -reich-suzuki nonexpansive type mappings in banach space.