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

Fixexd point theory and applications

Jen-Chih Yao¹  Qamrul Hasan Ansari²  Abdellah Bnouhachem³ 

[1] Department of Mathematics, Aligarh Muslim University, Aligarh, India;ENSA, Ibn Zohr University, Agadir, Morocco;School of Management Science and Engineering, Nanjing University, Nanjing, P.R. China

关键词: hierarchical fixed point problems;    variational inequalities;    fixed point problems;    nonexpansive mappings;    averaged mappings;    49J30;    47H09;    47J20;    49J40;   

DOI  :  10.1186/s13663-015-0358-6

学科分类：数学（综合）

来源: SpringerOpen

【 摘 要 】

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.

【 授权许可】

CC BY