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 jφ, where φ is a gauge funct...
Saved in:
| Main Authors: | , |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
2014
|
| Online Access: | http://www.scopus.com/inward/record.url?eid=2-s2.0-79960684202&partnerID=40&md5=d0069e98cc22c4f12726e8296ed0b72f http://cmuir.cmu.ac.th/handle/6653943832/6512 |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| Institution: | Chiang Mai University |
| Language: | English |
| id |
th-cmuir.6653943832-6512 |
|---|---|
| record_format |
dspace |
| spelling |
th-cmuir.6653943832-65122014-08-30T03:24:18Z Viscosity approximation methods for a nonexpansive semigroup in Banach spaces with gauge functions Cholamjiak P. Suantai S. 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 jφ, 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. 2014-08-30T03:24:18Z 2014-08-30T03:24:18Z 2011 Article in Press 9255001 10.1007/s10898-011-9756-4 JGOPE http://www.scopus.com/inward/record.url?eid=2-s2.0-79960684202&partnerID=40&md5=d0069e98cc22c4f12726e8296ed0b72f http://cmuir.cmu.ac.th/handle/6653943832/6512 English |
| institution |
Chiang Mai University |
| building |
Chiang Mai University Library |
| country |
Thailand |
| collection |
CMU Intellectual Repository |
| language |
English |
| description |
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 jφ, 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. |
| format |
Article |
| author |
Cholamjiak P. Suantai S. |
| spellingShingle |
Cholamjiak P. Suantai S. Viscosity approximation methods for a nonexpansive semigroup in Banach spaces with gauge functions |
| author_facet |
Cholamjiak P. Suantai S. |
| author_sort |
Cholamjiak P. |
| title |
Viscosity approximation methods for a nonexpansive semigroup in Banach spaces with gauge functions |
| title_short |
Viscosity approximation methods for a nonexpansive semigroup in Banach spaces with gauge functions |
| title_full |
Viscosity approximation methods for a nonexpansive semigroup in Banach spaces with gauge functions |
| title_fullStr |
Viscosity approximation methods for a nonexpansive semigroup in Banach spaces with gauge functions |
| title_full_unstemmed |
Viscosity approximation methods for a nonexpansive semigroup in Banach spaces with gauge functions |
| title_sort |
viscosity approximation methods for a nonexpansive semigroup in banach spaces with gauge functions |
| publishDate |
2014 |
| url |
http://www.scopus.com/inward/record.url?eid=2-s2.0-79960684202&partnerID=40&md5=d0069e98cc22c4f12726e8296ed0b72f http://cmuir.cmu.ac.th/handle/6653943832/6512 |
| _version_ |
1681420627679903744 |