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Strong convergence theorems for nonexpansive mappings and inverse-strongly monotone mappings. (English) Zbl 1093.47058
The authors suggest and analyze an iterative scheme for finding a common element of the set of fixed points of a nonexpansive mapping and the set of solutions of the variational inequalities involving a strongly monotone (inverse-strongly monotone) mapping in a Hilbert space under some conditions. Some applications are also indicated. The paper is well written and contains some nice results.

47J25 Iterative procedures involving nonlinear operators
47H05 Monotone operators and generalizations
49J40 Variational inequalities
47H09 Contraction-type mappings, nonexpansive mappings, \(A\)-proper mappings, etc.
47J20 Variational and other types of inequalities involving nonlinear operators (general)
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