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Strong convergence of the CQ method for fixed point iteration processes. (English) Zbl 1105.47060
Some strong convergence theorems for the CQ method Ishikawa iteration process for nonexpansive mappings, for the contractive-type iteration process for nonexpansive mappings, and for the proximal point algorithm for maximal monotone operators in Hilbert spaces are obtained.

MSC:
47J25Iterative procedures (nonlinear operator equations)
47H09Mappings defined by “shrinking” properties
65J15Equations with nonlinear operators (numerical methods)