An iterative Algorithm for Hemicontractive Mappings in Banach Spaces | Zendy

Youli Yu | Zendy; Zhitao Wu | Zendy; Pei-Xia Yang | Zendy

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An iterative Algorithm for Hemicontractive Mappings in Banach Spaces

Author(s) -

Youli Yu,

Zhitao Wu,

Pei-Xia Yang

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 - 10.1155/2012/264103

Subject(s) - mathematics , banach space , convergence (economics) , fixed point , iterative method , algorithm , discrete mathematics , mathematical analysis , economics , economic growth

We First introduce a three-step iterative algorithm for approximating the fixed points of the hemicontractive mappings in Banach spaces. Consequently, we prove the strong convergence of the proposed algorithm under some assumptions. Since three-step iterations include Ishikawa iterations as special cases, our result continue to hold for these problems. Our main results can be viewed as an important refinement of the previously known results

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