Hierarchical fixed points of strictly pseudo contractive mappings for variational inequality problems
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Author list: Chamnarnpan T., Wairojjana N., Kumam P.
Publisher: SpringerOpen
Publication year: 2013
Journal: SpringerPlus (2193-1801)
Volume number: 2
Issue number: 1
Start page: 1
End page: 12
Number of pages: 12
ISSN: 2193-1801
Languages: English-Great Britain (EN-GB)
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Abstract
In this paper, we introduce a new iterative scheme that converges strongly to a common fixed point of a countable family of strictly pseudo-contractive mappings in a real Hilbert space which is also a solution of variational inequality problem related to quadratic minimization problems. Our results extend ones of Yao et al. [Math. and Comput. Modell. 52(9-10):1697-1705, 2010], Gu et al. [J. Appl. Math. 2011:17 p., 2011] and some authors. ฉ 2013 Chamnarnpan et al.
Keywords
Hierarchical fixed point problem, Strictly pseudo-contractive mapping
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