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Zbl 1187.65058
Qin, Xiaolong; Shang, Meijuan; Su, Yongfu
Strong convergence of a general iterative algorithm for equilibrium problems and variational inequality problems. (English)
[J] Math. Comput. Modelling 48, No. 7-8, 1033-1046 (2008). ISSN 0895-7177

Summary: The purpose of this paper is to study the strong convergence of a general iterative scheme to find a common element of the set of common fixed points of a finite family of nonexpansive mappings, the set of solutions of variation inequalities for a relaxed cocoercive mapping and the set of solutions of an equilibrium problem. Our results extend recent results announced by many others.

MSC 2000:: *65J15 Equations with nonlinear operators (numerical methods)
49J40 Variational methods including variational inequalities
65K10 Optimization techniques (numerical methods)

Keywords: nonexpansive mapping; viscosity approximation method; equilibrium problem; fixed point

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