Abstract
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.
| Original language | English |
|---|---|
| Article number | 111 |
| Journal | Fixed Point Theory and Algorithms for Sciences and Engineering |
| Volume | 2015 |
| Issue number | 1 |
| DOIs | |
| State | Published - 23 Dec 2015 |
Bibliographical note
Publisher Copyright:© 2015, Bnouhachem et al.
Keywords
- averaged mappings
- fixed point problems
- hierarchical fixed point problems
- nonexpansive mappings
- variational inequalities
ASJC Scopus subject areas
- Geometry and Topology
- Applied Mathematics
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