A modified projection method for a common solution of a system of variational inequalities, a split equilibrium problem and a hierarchical fixed-point problem

作者：Bnouhachem Abdellah^*

来源：Fixed Point Theory and Applications, 2014, 2014(1): 22.

DOI：10.1186/1687-1812-2014-22

• system of variational inequalities
• equilibrium problem
• hierarchical fixed-point problem
• fixed-point problem
• projection method

In this paper, we suggest and analyze a modified projection method for finding a common solution of a system of variational inequalities, a split 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 system of variational inequalities, a split 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.

• 出版日期2014-1-23
• 单位南京大学