A HIERARCHICAL APPROACH TO FIXED POINT PROBLEMS FOR UNIFORMLY ASYMPTOTICALLY REGULAR SEQUENCES

摘要

We study the hierarchical iterative scheme defined by x(1) is an element of H and x(n+1) = alpha(n)x(n) + (1-alpha(n))(I-mu D-n)W(n)x(n) + alpha(n)beta(n)(S-I)x(n) (n >= 1), involving a UAR sequence (W-n)(n is an element of N). We prove that the limit point depends from the value tau:= lim(n ->infinity)alpha(n)beta(n)/mu(n).