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Zbl 1041.47048
Zhou, Yuying; Chang, Shih-Sen
Convergence of implicit iteration process for a finite family of asymptotically nonexpansive mappings in Banach spaces. (English)
[J] Numer. Funct. Anal. Optimization 23, No. 7-8, 911-921 (2002). ISSN 0163-0563; ISSN 1532-2467/e

The authors study the weak and strong convergence of implicit iteration processes to a common fixed point for a finite family of nonexpansive maps.
[Jürgen Appell (Würzburg)]

MSC 2000:: *47J25 Methods for solving nonlinear operator equations (general)
47H05 Monotone operators (with respect to duality)
47H09 Mappings defined by "shrinking" properties
49M05 Methods of successive approximation based on necessary conditions

Keywords: weak convergence; implicit iteration processes; nonexpansive maps

Cited in: Zbl 1227.47042 Zbl 1199.47287 Zbl 1220.47106 Zbl 1171.47052 Zbl 1160.47322 Zbl 1124.47047

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