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Strong convergence of a general iterative algorithm for equilibrium problems and variational inequality problems. (English) Zbl 1187.65058
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:
65J15Equations with nonlinear operators (numerical methods)
49J40Variational methods including variational inequalities
65K10Optimization techniques (numerical methods)
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