In 2008, S.Takahashi and W.Takahashi [11] introduced a general iterative method for finding a common element of and.
In 2007, S. Takahashi and W. Takahashi [6] introduced a viscosity approximation method for finding a common element of and from an arbitrary initial element (1.16).
Subsequently, Takahashi and Takahashi [7] introduced another iterative scheme for finding a common element of and the set of fixed points of nonexpansive mappings.
We next apply our result for finding a common element of a fixed point set of a relatively nonexpansive mapping and the solution set of an equilibrium problem.
Very recently, Moudafi [18] proposed an iterative algorithm for finding a common element of, where is an -inverse-strongly monotone manding, and obtained a weak convergence theorem.
Subsequently, we introduce our iterative algorithm for finding a common element of the set of solutions of a mixed equilibrium problem and the set of a variational inclusion.
Recently, in 2008, Takahashia and Takahashi [14] introduced a general iterative method for finding a common element of EP (F, A) and F(T).
By means of the composite iterative scheme together with the shrinking projection method, we can construct the proximal point algorithms for finding a common element in the set.
We can develop Algorithm 3.1 for finding a common element of a set of fixed points of -mapping and a set of solutions of GMEP(1.2).
Furthermore,Yao et al.[8, 10] introduced an iterative scheme for finding a common element of and the set of fixed points of finitely (infinitely) nonexpansive mappings.
Recently, in 2009, Qin et al. [11] introduced a general iterative method for finding a common element of EP F, T, F SS), and F D).
