Equilibrium programming in Hilbert spaces

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Two strong convergence theorems for Bregman strongly nonexpansive operators in reflexive Banach spaces (2010, background): “The resolvent of a bifunction g : K ×K → R [16] is the operator Resg : X → 2 , defined by”
Parallel Extragradient-Proximal Methods for Split Equilibrium Problems (2015, methodology): “iven xn, the next iterate xn+1 solves the following problem Find x ∈C such that f(x,y)+ 1 rn hy−x,x−xni≥ 0,∀y ∈C or xn+1 =T f rn(xn)where T f rn is the resolvent of the bifunction f and rn >0, see [8]. In 2012, He [11] used the proximal method and proposed the following algorithm fi(uin ,y”
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.”