Strong Convergence Theorems for Semigroups of Asymptotically Nonexpansive Mappings in Banach Spaces | Zendy

D. R. Sahu | Zendy; NgaiChing Wong | Zendy; JenChih Yao | Zendy

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Strong Convergence Theorems for Semigroups of Asymptotically Nonexpansive Mappings in Banach Spaces

Author(s) -

D. R. Sahu,

NgaiChing Wong,

JenChih Yao

Publication year - 2013

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 - 10.1155/2013/202095

Subject(s) - mathematics , banach space , convergence (economics) , pure mathematics , discrete mathematics , mathematical analysis , economics , economic growth

Let be a real reflexive Banach space with a weakly continuous duality mapping . Let be a nonempty weakly closed star-shaped (with respect to ) subset of . Let = be a uniformly continuous semigroup of asymptotically nonexpansive self-mappings of , which is uniformly continuous at zero. We will show that the implicititeration scheme: , for all , converges strongly to a common fixed point of the semigroup for some suitably chosenparameters and . Our results extend and improve corresponding ones of Suzuki (2002), Xu (2005), and Zegeye and Shahzad (2009)

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