A hybrid iterative method for a common solution of variational inequalities, generalized mixed equilibrium problems, and hierarchical fixed point problems

Journal of inequalities and applications

Hui-ying Hu¹ 

关键词: variational inequalities;    generalized mixed equilibrium problems;    hierarchical fixed point problems;    fixed point problems;    49J30;    47H09;    47H20;   

DOI  :  10.1186/s13660-015-0671-y

学科分类：数学（综合）

来源: SpringerOpen

【 摘 要 】

In this paper, we suggest and analyze an iterative method for finding a common solution of variational inequalities, a generalized mixed equilibrium problem, and a hierarchical fixed point problem in the setting of a real Hilbert space. Under suitable conditions, we prove the strong convergence theorem. Several special cases are also discussed. The results presented in this paper extend and improve some well-known results in the literature.

【 授权许可】

CC BY