A New Hybrid Relaxed Extragradient Algorithm for Solving Equilibrium Problems, Variational Inequalities and Fixed Point Problems

摘要

The purpose of this paper is to introduce a new hybrid relaxed extra-gradient iterative method for finding a common element of the solution of set a equilibrium, variational inequality and the set of fixed point of a ξ-strict pseudocon-traction mapping in Hilbert spaces. We obtain a strong convergence theorem of the purposed iterative algorithm under some suitable conditions. The results presented in this paper generalize, improve and extend some well-known results in the literature.