Strong Convergence Algorithms for Hierarchical Fixed Points Problems and Variational Inequalities | Zendy

Gu G | Zendy; Shenghua Wang | Zendy; Yeol Je Cho | Zendy

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Strong Convergence Algorithms for Hierarchical Fixed Points Problems and Variational Inequalities

Author(s) -

Gu G,

Shenghua Wang,

Yeol Je Cho

Publication year - 2011

Publication title -

journal of applied mathematics

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.307

H-Index - 43

eISSN - 1687-0042

pISSN - 1110-757X

DOI - 10.1155/2011/164978

Subject(s) - fixed point , mathematics , hilbert space , variational inequality , countable set , convergence (economics) , scheme (mathematics) , weak convergence , algorithm , discrete mathematics , pure mathematics , mathematical analysis , computer science , computer security , economics , asset (computer security) , economic growth

We introduce a new iterative scheme that converges strongly to acommon fixed point of a countable family of nonexpansive mappings in a Hilbert space suchthat the common fixed point is a solution of a hierarchical fixed point problem. Our resultsextend the ones of Moudafi, Xu, Cianciaruso et al., and Yao et al

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