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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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