Strong Convergence Theorems for a Common Fixed Point of a Finite Family of Pseudocontractive Mappings | Zendy

Onkabetse A. Daman | Zendy; Habtu Zegeye | Zendy

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Strong Convergence Theorems for a Common Fixed Point of a Finite Family of Pseudocontractive Mappings

Author(s) -

Onkabetse A. Daman,

Habtu Zegeye

Publication year - 2012

Publication title -

international journal of mathematics and mathematical sciences

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.21

H-Index - 39

eISSN - 1687-0425

pISSN - 0161-1712

DOI - 10.1155/2012/405315

Subject(s) - mathematics , convergence (economics) , lipschitz continuity , fixed point , class (philosophy) , nonlinear system , point (geometry) , fixed point theorem , discrete mathematics , pure mathematics , mathematical analysis , computer science , geometry , physics , quantum mechanics , artificial intelligence , economics , economic growth

It is our purpose, in this paper, to prove strong convergence of Halpern-Ishikawa iteration method to a common fixed point of finite family of Lipschitz pseudocontractive mappings. There is no compactness assumption imposed either on C or on T. The results obtained in this paper improve most of the results that have been proved for this class of nonlinear mappings

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