Strong Convergence of Viscosity Methods for Continuous Pseudocontractions in Banach Spaces

Filomena Cianciaruso, Giuseppe Marino, Luigi Muglia and Haiyun Zhou

International Journal of Stochastic Analysis, 2008, vol. 2008, 1-11

Abstract:

We define a viscosity method for continuous pseudocontractive mappings defined on closed and convex subsets of reflexive Banach spaces with a uniformly Gâteaux differentiable norm. We prove the convergence of these schemes improving the main theorems in the work by Y. Yao et al. (2007) and H. Zhou (2008).

Date: 2008
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jnijsa:149483

DOI: 10.1155/2008/149483

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