Abstract
The purpose of this paper is to investigate the problem of finding an approximate point of the common set of solutions of an equilibrium problem and a hierarchical fixed point problem in the setting of real Hilbert spaces. We establish the strong convergence of the proposed method under some mild conditions. Several special cases are also discussed. Numerical examples are presented to illustrate the proposed method and convergence result. The results presented in this paper extend and improve some well-known results in the literature.
| Original language | English |
|---|---|
| Article number | 194 |
| Journal | Fixed Point Theory and Algorithms for Sciences and Engineering |
| Volume | 2014 |
| Issue number | 1 |
| DOIs | |
| State | Published - 2014 |
Bibliographical note
Publisher Copyright:© 2014 Bnouhachem et al.
Keywords
- Equilibrium problems
- Fixed point problems
- Hierarchical fixed point problems
- Projection method
- Variational inequalities
ASJC Scopus subject areas
- Geometry and Topology
- Applied Mathematics
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