摘要

In this paper, we first introduce a new general iterative scheme based on the extragradient-like method for finding a common element of the set of solutions of a generalized mixed equilibrium problem, the set of solutions of a variational inequality and the set of common fixed points for a finite family of nonexpansive mappings in the framework of a Hilbert space. Then we show that the proposed iterative sequence converges strongly to a common element. The results obtained in this paper generalize and improve the recent ones announced by many others.