... fixed pointsof a nonexpansive mapping on a real Hilbert space H:minx∈C12Ax, x−x, b,(1:7)where C is the fixed point set of a nonexpansive mapping T on H and b is a givenpoint in H. In ... certain conditions. Using the viscosity approximationmethod, Moudafi [9] introduced the following iterative iterative process for nonexpan-sive mappings (see [10,11] for further developments in ... 65000,ThailandAbstract In this paper, we introduce the modified general iterative approximation methods for finding a common fixed point of nonexpansive semigroups which is a uniquesolution of some variational inequalities....