An iterative algorithm for system of generalized equilibrium problems and fixed point problem

作者：Bnouhachem Abdellah^*

来源：Fixed Point Theory and Applications, 2014, 2014(1): 235.

DOI：10.1186/1687-1812-2014-235

• system of generalized equilibrium problems
• variational inequality
• hierarchical fixed point problem
• fixed point problem
• strictly pseudo-contractive mapping

In this paper, we propose an iterative algorithm for finding a common solution of a system of generalized equilibrium problems and a fixed point problem of strictly pseudo-contractive mapping 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 generalized equilibrium problems and a hierarchical fixed point problem. Preliminary numerical experiments are included to verify the theoretical assertions of the proposed method. The iterative algorithm and results presented in this paper generalize, unify, and improve the previously known results of this area.

• 出版日期2014-12-1
• 单位南京大学