Strong Convergence of Viscosity Methods for Continuous Pseudocontractions in Banach Spaces | Zendy

Filomena Cianciaruso | Zendy; Giuseppe Marino | Zendy; Luigi Muglia | Zendy; Haiyun Zhou | Zendy

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Strong Convergence of Viscosity Methods for Continuous Pseudocontractions in Banach Spaces

Author(s) -

Filomena Cianciaruso,

Giuseppe Marino,

Luigi Muglia,

Haiyun Zhou

Publication year - 2008

Publication title -

international journal of stochastic analysis

Language(s) - English

Resource type - Journals

eISSN - 2090-3340

pISSN - 2090-3332

DOI - 10.1155/2008/149483

Subject(s) - mathematics , banach space , uniformly convex space , differentiable function , norm (philosophy) , convergence (economics) , regular polygon , viscosity , pure mathematics , mathematical analysis , eberlein–šmulian theorem , lp space , geometry , physics , quantum mechanics , political science , law , economics , economic growth

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)

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