Abstract
Abstract: In this paper, we propose hybrid implicit and explicit viscosity iterative algorithms for solving general hierarchical fixed-point problems for a countable family of non-expansive mappings in uniformly smooth Banach spaces. These hybrid viscosity algorithms are based on the well-known viscosity approximation method and hybrid steepest-descent method. We obtain some strong convergence theorems under suitable conditions. Our results extend, improve, supplement and develop the recent results in the literature.
| Original language | English |
|---|---|
| Pages (from-to) | 2-23 |
| Number of pages | 22 |
| Journal | Applicable Analysis |
| Volume | 94 |
| Issue number | 1 |
| DOIs | |
| State | Published - 2 Jan 2015 |
| Externally published | Yes |
Bibliographical note
Publisher Copyright:© 2013, © 2013 Taylor & Francis.
Keywords
- Demiclosedness principle
- hierarchical fixed-point problems
- hybrid viscosity iterative algorithms
- non-expansive mappings
- uniformly smooth Banach spaces
ASJC Scopus subject areas
- Analysis
- Applied Mathematics
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