Abstract
In this paper, some properties of the generalized f -projection operator are proved in Banach spaces. Using these results, the strong convergence theorems for relatively nonexpansive mappings are studied in Banach spaces. As applications, the strong convergence of general H-monotone mappings in Banach spaces is also given. The results presented in this paper generalize and improve the main results of Matsushita and Takahashi (2005) [9]. (C) 2010 Elsevier Ltd. All rights reserved.
| Original language | English (Ireland) |
|---|---|
| Pages (from-to) | 1322-1331 |
| Number of pages | 10 |
| Journal | Computers & Mathematics With Applications |
| Volume | 60 |
| Issue number | 5 |
| DOIs | |
| Publication status | Published - 1 Sep 2010 |
Keywords
- Asymptotic fixed point
- General h-monotone mapping
- Generalized f-projection operator
- Nonexpansive mapping
- Relatively nonexpansive mapping
Fingerprint
Dive into the research topics of 'Strong convergence theorems for relatively nonexpansive mappings in Banach spaces with applications'. Together they form a unique fingerprint.Cite this
- APA
- Author
- BIBTEX
- Harvard
- Standard
- RIS
- Vancouver