Strong convergence theorems for a sequence of nonexpansive mappings with gauge functions
In this paper, we first prove a path convergence theorem for a nonexpansive mapping in a reflexive and strictly convex Banach space which has a uniformly Gâteaux differentiable norm and admits the duality mapping jφ, where φ is a gauge function on [0, ∞). Using this result, strong convergence theore...
Saved in:
| Main Authors: | , , |
|---|---|
| Format: | Journal |
| Published: |
2018
|
| Online Access: | https://www.scopus.com/inward/record.uri?partnerID=HzOxMe3b&scp=84878464545&origin=inward http://cmuir.cmu.ac.th/jspui/handle/6653943832/47873 |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| Institution: | Chiang Mai University |
| Summary: | In this paper, we first prove a path convergence theorem for a nonexpansive mapping in a reflexive and strictly convex Banach space which has a uniformly Gâteaux differentiable norm and admits the duality mapping jφ, where φ is a gauge function on [0, ∞). Using this result, strong convergence theorems for common fixed points of a countable family of nonexpansive mappings are established. |
|---|