Strong convergence theorem for a generalized equilibrium problem and a nonexpansive mapping in a Hilbert space

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TWO GENERALIZED STRONG CONVERGENCE THEOREMS OF HALPERN’S TYPE IN HILBERT SPACES AND APPLICATIONS (2012, background): “This is the set of solutions of the variational inequality for A; see [15] and [19].”
An iterative scheme for equilibrium problems and fixed point problems of strict pseudo-contraction mappings (2009, methodology): “Motivated by the work in [4,12,14], Takahashi and Takahashi [15] introduced an iterative scheme by the viscosity approximation method for finding a common element of the set of solutions of the EP (1.”