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Zbl 1203.47043
Cianciaruso, Filomena; Marino, Giuseppe; Muglia, Luigi; Yao, Yonghong
(Yao, Yong-hong)
A hybrid projection algorithm for finding solutions of mixed equilibrium problem and variational inequality problem. (English)
[J] Fixed Point Theory Appl. 2010, Article ID 383740, 19 p. (2010). ISSN 1687-1812/e

Summary: We propose a modified hybrid projection algorithm to approximate a common fixed point of a $k$-strict pseudocontraction and of two sequences of nonexpansive mappings. We prove a strong convergence theorem of the proposed method and we obtain, as a particular case, approximation of solutions of systems of two equilibrium problems.

MSC 2000:: *47J25 Methods for solving nonlinear operator equations (general)
47H09 Mappings defined by "shrinking" properties
49J40 Variational methods including variational inequalities

Keywords: modified hybrid projection algorithm; $k$-strict pseudocontraction; nonexpansive mappings; strong convergence; equilibrium problems

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