Modified Hybrid Block Iterative Algorithm for Uniformly Quasi‐ϕ‐Asymptotically Nonexpansive Mappings | Zendy

Qiansheng Feng | Zendy; Yongfu Su | Zendy; Fangfang Yan | Zendy

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Modified Hybrid Block Iterative Algorithm for Uniformly Quasi‐ϕ‐Asymptotically Nonexpansive Mappings

Author(s) -

Qiansheng Feng,

Yongfu Su,

Fangfang Yan

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 - 10.1155/2012/215261

Subject(s) - mathematics , banach space , convergence (economics) , regular polygon , fixed point , block (permutation group theory) , set (abstract data type) , property (philosophy) , convex function , pure mathematics , discrete mathematics , mathematical analysis , combinatorics , computer science , geometry , philosophy , epistemology , economics , programming language , economic growth

Saewan and Kumam (2010) have proved the convergence theorems for finding the set of solutions of a general equilibrium problems and the common fixed point set of a family of closed and uniformly quasi--asymptotically nonexpansive mappings in a uniformly smooth and strictly convex Banach space E with Kadec-Klee property. In this paper, authors prove the convergence theorems and do not need the Kadec-Klee property of Banach space and some other conditions used in the paper of S. Saewan and P. Kumam. Therefore, the results presented in this paper improve and extend some recent results

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