Abstract
In this paper, we propose an iterative algorithm for hierarchical fixed point problems of a finite family of nonexpansive mappings in the setting of real Hilbert spaces. We prove that the sequence generated by the proposed method algorithm converges strongly to a fixed point of a finite family of nonexpansive mappings which is also the solution of a variational inequality. Numerical examples are presented to illustrate the proposed method and convergence result. The iterative algorithm and results presented in this paper generalize, unify and improve the previously known results of this area.
| Original language | English |
|---|---|
| Pages (from-to) | 47-62 |
| Number of pages | 16 |
| Journal | Fixed Point Theory |
| Volume | 17 |
| Issue number | 1 |
| State | Published - 2016 |
Bibliographical note
Publisher Copyright:© 2016, House of the Book of Science. All rights reserved.
Keywords
- Averaged mapping
- Fixed point problem
- Hierarchical fixed point problem
- Nonexpansive mapping
ASJC Scopus subject areas
- Analysis
- Computational Mathematics
- Applied Mathematics