Strong convergence theorems for equilibrium problems involving a family of nonexpansive mappings
D. D. Thanh · Fixed Point Theory and Applications · 2014
We give new hybrid variants of extragradient methods for finding a common solution of an equilibrium problem and a family of nonexpansive mappings. We present a scheme that combines the idea of an extragradient method and a successive iteration method as a hybrid variant. Then, this scheme is modified by projecting on a suitable convex set to get a better convergence property under certain assumptions in a real Hilbert space. MSC:65K10, 65K15, 90C25, 90C33.