this 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 solutio...

In this paper, we introduce two modified hybrid iterative methods (one implicit method and one explicit method) for finding a common element of the set of solutions of a generalized mixed equilibrium problem, the set of solutions of a variational inequality problem for a continuous monotone mapping and the set of fixed points of a continuous pseudocontractive mapping in Hilbert spaces, and show...

Abstract In this paper, we study the existence of solution generalized equilibrium problem (GEP) in framework an Hadamard manifold. Using KKM lemma, prove GEP and give properties resolvent function associated with under consideration. Furthermore, introduce iterative algorithm for approximating a common fixed point problem. proposed method, obtain strong convergence theorem GEP, which is also n...