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Zbl 1105.47060
Martinez-Yanes, Carlos; Xu, Hong-Kun
Strong convergence of the CQ method for fixed point iteration processes. (English)
[J] Nonlinear Anal., Theory Methods Appl. 64, No. 11, A, 2400-2411 (2006). ISSN 0362-546X

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.
[Zhang Xian (Xiamen)]

MSC 2000:: *47J25 Methods for solving nonlinear operator equations (general)
47H09 Mappings defined by "shrinking" properties
65J15 Equations with nonlinear operators (numerical methods)

Keywords: strong convergence; CQ method; nonexpansive mapping; maximal monotone operator

Cited in: Zbl 1226.47079 Zbl 1220.47099 Zbl 1220.47114 Zbl 1203.47051 Zbl 1137.47056 Zbl 1124.47046

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