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...
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2015
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th-cmuir.6653943832-386362015-06-16T07:53:43Z Viscosity approximation methods for a nonexpansive semigroup in Banach spaces with gauge functions Cholamjiak,P. Suantai,S. Control and Optimization Management Science and Operations Research Applied Mathematics Computer Science Applications 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. 2015-06-16T07:53:43Z 2015-06-16T07:53:43Z 2012-09-01 Article 09255001 2-s2.0-84865136281 10.1007/s10898-011-9756-4 http://www.scopus.com/inward/record.url?partnerID=HzOxMe3b&scp=84865136281&origin=inward http://cmuir.cmu.ac.th/handle/6653943832/38636 Springer Netherlands |
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Control and Optimization Management Science and Operations Research Applied Mathematics Computer Science Applications |
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Control and Optimization Management Science and Operations Research Applied Mathematics Computer Science Applications Cholamjiak,P. Suantai,S. Viscosity approximation methods for a nonexpansive semigroup in Banach spaces with gauge functions |
| 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 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. |
| format |
Article |
| author |
Cholamjiak,P. Suantai,S. |
| 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 |
| publisher |
Springer Netherlands |
| publishDate |
2015 |
| url |
http://www.scopus.com/inward/record.url?partnerID=HzOxMe3b&scp=84865136281&origin=inward http://cmuir.cmu.ac.th/handle/6653943832/38636 |
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