The General Iterative Methods for Asymptotically Nonexpansive Semigroups in Banach Spaces | Zendy

Rabian Wangkeeree | Zendy; Pakkapon Preechasilp | Zendy

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The General Iterative Methods for Asymptotically Nonexpansive Semigroups in Banach Spaces

Author(s) -

Rabian Wangkeeree,

Pakkapon Preechasilp

Publication year - 2012

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 - 10.1155/2012/695183

Subject(s) - mathematics , banach space , variational inequality , fixed point , convergence (economics) , duality (order theory) , scheme (mathematics) , iterative method , pure mathematics , mathematical analysis , discrete mathematics , mathematical optimization , economics , economic growth

We introduce the general iterative methods for finding a common fixed point of asymptotically nonexpansive semigroups which is a unique solution of some variational inequalities. We prove the strong convergence theorems of such iterative scheme in a reflexive Banach space which admits a weakly continuous duality mapping. The main result extends various results existing in the current literature

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