Mixed Approximation for Nonexpansive Mappings in Banach Spaces | Zendy

Qing-bang Zhang | Zendy; Fu-quan Xia | Zendy; Mingjie Liu | Zendy

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Mixed Approximation for Nonexpansive Mappings in Banach Spaces

Author(s) -

Qing-bang Zhang,

Fu-quan Xia,

Mingjie Liu

Publication year - 2010

Publication title -

abstract and applied analysis

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.228

H-Index - 56

eISSN - 1687-0409

pISSN - 1085-3375

DOI - 10.1155/2010/763207

Subject(s) - mathematics , banach space , differentiable function , fixed point , norm (philosophy) , convergence (economics) , pure mathematics , scheme (mathematics) , mathematical analysis , political science , law , economics , economic growth

The mixed viscosity approximation is proposed for finding fixed points of nonexpansive mappings, and the strong convergence of the scheme to a fixed point of the nonexpansive mapping is proved in a real Banach space with uniformly Gâteaux differentiable norm. The theorem about Halpern type approximation for nonexpansive mappings is shown also. Our theorems extend and improve the correspondingly results shown recently

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