Abstract
We introduce a new one-step iteration process to approximate common fixed points of two nonexpansive mappings in Banach spaces and prove weak convergence of the iterative sequence using (i) Opial's condition and (ii) Kadec-Klee property. Strong convergence theorems are also established in Banach spaces and uniformly convex Banach spaces under the so-called Condition (A′), which is weaker than compactness.
| Original language | English |
|---|---|
| Pages (from-to) | 249-257 |
| Number of pages | 9 |
| Journal | Iranian Journal of Science and Technology, Transaction A: Science |
| Volume | 33 |
| Issue number | 3 |
| State | Published - 2009 |
Keywords
- Common fixed point
- Condition (A′) weak and strong convergence
- Nonexpansive mapping
- One-step iteration process
ASJC Scopus subject areas
- General Chemistry
- General Mathematics
- General Agricultural and Biological Sciences
- General Physics and Astronomy
- General Earth and Planetary Sciences