University of MaraghehSahand Communications in Mathematical Analysis2322-580706120170401Approximation of fixed points for a continuous representation of nonexpansive mappings in Hilbert spaces49682298810.22130/scma.2017.22988ENEbrahim SooriDepartment of Mathematics, Lorestan University, P.O. Box 465, Khoramabad, Lorestan, Iran.Journal Article20160614This paper introduces an implicit scheme for a continuous representation of nonexpansive mappings on a closed convex subset of a Hilbert space with respect to a sequence of invariant means defined on an appropriate space of bounded, continuous real valued functions of the semigroup. The main result is to prove the strong convergence of the proposed implicit scheme to the unique solution of the variational inequality on the solution of systems of equilibrium problems and the common fixed points of a sequence of nonexpansive mappings and a continuous representation of nonexpansive mappings.http://scma.maragheh.ac.ir/article_22988_6164b5942bd9d9914849f5c337fac6fa.pdf