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    Strong convergence of approximated iterations for asymptoticallypseudocontractive mappings
    Springer Science and Business Media LLC ; 2014
    In:  Fixed Point Theory and Applications Vol. 2014, No. 1 ( 2014-12)
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    In: Fixed Point Theory and Applications, Springer Science and Business Media LLC, Vol. 2014, No. 1 ( 2014-12)
    Abstract: The asymptotically nonexpansive mappings have been introduced by Goebel and Kirkin 1972. Since then, a large number of authors have studied the weak and strongconvergence problems of the iterative algorithms for such a class of mappings.It is well known that the asymptotically nonexpansive mappings is a propersubclass of the class of asymptotically pseudocontractive mappings. In thepresent paper, we devote our study to the iterative algorithms for finding thefixed points of asymptotically pseudocontractive mappings in Hilbert spaces. Wesuggest an iterative algorithm and prove that it converges strongly to the fixedpoints of asymptotically pseudocontractive mappings. MSC: 47J25, 47H09, 65J15.
    Type of Medium: Online Resource
    ISSN: 1687-1812
    URL: Article
    DOI: 10.1186/1687-1812-2014-100
    Language: English
    Publisher: Springer Science and Business Media LLC
    Publication Date: 2014
    detail.hit.zdb_id: 3057135-2
    detail.hit.zdb_id: 2135860-6
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