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An iterative scheme with a countable family of nonexpansive mappings for variational inequality problems in Hilbert spaces. (English) Zbl 1184.49006

Summary: We introduce a new iterative scheme with a countable family of nonexpansive mappings for variational inequality problems in Hilbert spaces and prove some strong convergence theorems for the proposed schemes.

MSC:

49J40 Variational inequalities
47H09 Contraction-type mappings, nonexpansive mappings, \(A\)-proper mappings, etc.
47N10 Applications of operator theory in optimization, convex analysis, mathematical programming, economics
49J45 Methods involving semicontinuity and convergence; relaxation
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References:

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