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...
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| Main Authors: | , |
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| Format: | Article |
| Language: | English |
| Published: |
2014
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| 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 |
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| Institution: | Chiang Mai University |
| Language: | English |
| 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 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. |
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