An iterative method for common solutions of equilibrium problems and hierarchical fixed point problems

作者：Bnouhachem Abdellah; Al Homidan Suliman; Ansari Qamrul Hasan^*

来源：Fixed Point Theory and Applications, 2014, 2014(1): 194.

DOI：10.1186/1687-1812-2014-194

• equilibrium problems
• variational inequalities
• hierarchical fixed point problems
• fixed point problems
• projection method

The purpose of this paper is to investigate the problem of finding an approximate point of the common set of solutions of an equilibrium problem and a hierarchical fixed point problem in the setting of real Hilbert spaces. We establish the strong convergence of the proposed method under some mild conditions. Several special cases are also discussed. Numerical examples are presented to illustrate the proposed method and convergence result. The results presented in this paper extend and improve some well-known results in the literature.

• 出版日期2014-9-24
• 单位中国石油大学（北京）; 南京大学