Let be a real Hilbert space, a nonempty closed and convex subset of , a nonexpansive mapping, the set of fixed point of , and be the set of nonnegative real numbers. Let be a nonexpansive semigroup on , i.e.
(1) for each , is a nonexpansive mapping on ;
(2) for all ;
(3) for all ;
(4) for each , the mapping from into is continuous.
The purpose of this paper is to prove the strong convergence of a method combining the decent method and the hybrid method in mathematical programming for finding a point i.e. a point in the common fixed set of a semigroup of nonexpansive mappings in Hilbert-space.