Abstract
A common fixed point theorem for a commuting family of asymptotic pointwise nonexpansive mappings in a uniformly convex Banach space is proved. Weak and strong convergence of an iterative sequence defined by two of such mappings are also established. Our results generalize the results of Kirk and Xu [7], Khan and Takahashi [4] and Kozlowski [8].
| Original language | English |
|---|---|
| Pages (from-to) | 151-160 |
| Number of pages | 10 |
| Journal | Fixed Point Theory |
| Volume | 14 |
| Issue number | 1 |
| Publication status | Published - 2013 |
| Externally published | Yes |
Keywords
- Asymptotic pointwise nonexpansive mapping
- Common fixed point
- Strong convergence
- Uniformly convex Banach space
- Weak convergence
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