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

被引：0
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作者：
Abdellah Bnouhachem
Qamrul Hasan Ansari
Jen-Chih Yao
机构：
[1] Nanjing University,School of Management Science and Engineering
[2] Ibn Zohr University,ENSA
[3] Aligarh Muslim University,Department of Mathematics
[4] King Fahd University of Petroleum and Minerals,Department of Mathematics and Statistics
[5] China Medical University,Center for General Education
[6] King Abdulaziz University,Department of Mathematics
来源：
Fixed Point Theory and Applications | / 2015卷
关键词：
hierarchical fixed point problems; variational inequalities; fixed point problems; nonexpansive mappings; averaged mappings; 49J30; 47H09; 47J20; 49J40;
D O I：
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学科分类号：
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.
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