Viscosity approximation methods for a nonexpansive semigroup in Banach spaces with gauge functions
We first investigate strong convergence of the sequence generated by implicit and explicit viscosity approximation methods for a one-parameter nonexpansive semigroup in a real Banach space E which has a uniformly Gâteaux differentiable norm and admits the duality mapping j φ, where φ is a gauge func...
Saved in:
| Main Authors: | , |
|---|---|
| Format: | Article |
| Published: |
Springer Netherlands
2015
|
| Subjects: | |
| Online Access: | http://www.scopus.com/inward/record.url?partnerID=HzOxMe3b&scp=84865136281&origin=inward http://cmuir.cmu.ac.th/handle/6653943832/38636 |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| Institution: | Chiang Mai University |
| Summary: | We first investigate strong convergence of the sequence generated by implicit and explicit viscosity approximation methods for a one-parameter nonexpansive semigroup in a real Banach space E which has a uniformly Gâteaux differentiable norm and admits the duality mapping j φ, where φ is a gauge function on [0, ∞). The main results also improve and extend some known results concerning the normalized duality mapping in the literature. © 2011 Springer Science+Business Media, LLC. |
|---|