A hybrid extragradient method extended to fixed point problems and equilibrium problems
Phạm Ngọc Ánh · Optimization · 2011
In this article, we present a new hybrid extragradient iteration method for finding a common element of the set of fixed points of a nonexpansive mapping and the set of solutions of equilibrium problems for a pseudomonotone and Lipschitz-type continuous bifunction. We obtain strongly convergent theorems for the sequences generated by these processes in a real Hilbert space.