A Strong Convergence Theorem for Total Asymptotically Pseudocontractive Mappings in Hilbert Spaces | Zendy

Chuan Ding | Zendy; Jing Quan | Zendy

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A Strong Convergence Theorem for Total Asymptotically Pseudocontractive Mappings in Hilbert Spaces

Author(s) -

Chuan Ding,

Jing Quan

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 - 10.1155/2012/127851

Subject(s) - mathematics , hilbert space , convergence (economics) , fixed point , pure mathematics , operator (biology) , metric space , metric (unit) , mathematical analysis , biochemistry , chemistry , operations management , repressor , transcription factor , economics , gene , economic growth

Demiclosedness principle for total asymptotically pseudocontractive mappings in Hilbert spaces is established. The strong convergence to a fixed point of total asymptotically pseudocontraction in Hilbert spaces is obtained based on demiclosedness principle, metric projective operator, and hybrid iterative method. The main results presented in this paper extend and improve the corresponding results of Zhou (2009), Qin, Cho, and Kang (2011) and of many other authors

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