Abstract
Let K be a compact convex subset of a real Hilbert space H and T-i : K -> K, i = 1,2, ... , k, be a family of continuous hemicontractive mappings. Let alpha(n), beta(i)(n) is an element of [0, 1] be such that alpha(n) + Sigma(k)(i=1) beta(i)(n) = 1 and satisfying {alpha(n)}, beta(i)(n) subset of [delta, 1 - delta] for some delta is an element of (0, 1), i = 1,2, ... , k. For arbitrary x(0) is an element of K, define the sequence {x(n)} by (1.9) see below, then {x(n)} converges strongly to a common fixed point in boolean AND(k)(i=1) F(T-i) not equal empty set.