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Viscosity approximation methods for a nonexpansive semigroup in Banach spaces with gauge functions |
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| Authors: | Prasit Cholamjiak Suthep Suantai |
| Institution: | 1. School of Science, University of Phayao, Phayao, 56000, Thailand 2. Department of Mathematics, Faculty of Science, Chiang Mai University, Chiang Mai, 50200, Thailand 3. Materials Science Research Center, Faculty of Science, Chiang Mai University, Chiang Mai, 50200, Thailand |
| Abstract: | 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 Gateaux differentiable norm and admits the duality mapping j ?? , where ?? is a gauge function on 0, ??). The main results also improve and extend some known results concerning the normalized duality mapping in the literature. |
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