Abstract
The purpose of this paper is to study the weak and strong convergence of finite steps iterative sequences with mean errors to a common fixed point for a finite family of asymptotically nonexpansive mappings in Banach spaces. The results presented in this paper even in the cases of N = 2 or 3 are new.
| Original language | English |
|---|---|
| Pages (from-to) | 589-600 |
| Number of pages | 12 |
| Journal | Dynamics of Continuous, Discrete and Impulsive Systems Series A: Mathematical Analysis |
| Volume | 11 |
| Issue number | 4 |
| Publication status | Published - 1 Aug 2004 |
Keywords
- Asymptotically nonexpansive mappings
- Common fixed point
- Demi-closed principle
- Finite steps iterative sequence
- Iterative sequence with mean errors
- Opial's condition
- Semi-compactness
ASJC Scopus subject areas
- Analysis
- Discrete Mathematics and Combinatorics
- Applied Mathematics