An iterative algorithm for hierarchical fixed point problems for a finite family of nonexpansive mappings

作者：Bnouhachem, Abdellah; Ansari, Qamrul Hasan; Yao, Jen-Chih^*

来源：Fixed Point Theory and Applications, 2015, 2015(1): 111.

DOI：10.1186/s13663-015-0358-6

• hierarchical fixed point problems
• variational inequalities
• fixed point problems
• nonexpansive mappings
• averaged mappings

This paper aims to deal with an iterative algorithm for hierarchical fixed point problems for a finite family of nonexpansive mappings in the setting of real Hilbert spaces. We establish the strong convergence of the proposed method under some suitable conditions. Numerical examples are presented to illustrate the proposed method and convergence result. The algorithm and result presented in this paper extend and improve some well-known algorithm and results, respectively, in the literature.

• 出版日期2015-7-11
• 单位中国石油大学（北京）; 中国医科大学; 南京大学