An iterative method for a common solution of generalized mixed equilibrium problems, variational inequalities, and hierarchical fixed point problems
Abdellah Bnouhachem, Ying Chen · Fixed Point Theory and Applications · 2014
In this paper, we suggest and analyze an iterative method for finding a common solution of a variational inequality, a generalized mixed equilibrium problem, and a hierarchical fixed point problem in the setting of real Hilbert spaces.We prove the strong convergence of the sequence generated by the proposed method to a common solution of a variational inequality, a generalized mixed equilibrium problem, and a hierarchical fixed point problem.Several special cases are also discussed.The results presented in this paper extend and improve some well-known results in the literature.