Viscosity approximation methods for a nonexpansive semigroup in Banach spaces with gauge functions
AbstractWe 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. Copyright Springer Science+Business Media, LLC. 2012
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Bibliographic InfoArticle provided by Springer in its journal Journal of Global Optimization.
Volume (Year): 54 (2012)
Issue (Month): 1 (September)
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Web page: http://www.springer.com/business/operations+research/journal/10898
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