A NEW APPROXIMATION ALGORITHM FOR FIXED POINTS OF NONEXPANSIVE MAPPINGS
Yong Fu Su, Ravi P. Agarwal · Mathematical Modelling and Analysis · 2010
The aim of this paper is to establish a new approximation algorithm for fixed points of nonexpansive mappings in general Banach spaces and to illustrate some numerical results. The approximation algorithm we shall discuss is xt,n = (tT) n x0, where x0 ∈ D(T) is arbitrary, n is a natural number, and t ∈ (0,1). We shall also provide some numerical error estimates.