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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.

MSC:
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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