Zhou, Yuying; Chang, Shih-Sen Convergence of implicit iteration process for a finite family of asymptotically nonexpansive mappings in Banach spaces. (English) Zbl 1041.47048 Numer. Funct. Anal. Optimization 23, No. 7-8, 911-921 (2002). The authors study the weak and strong convergence of implicit iteration processes to a common fixed point for a finite family of nonexpansive maps. Reviewer: Jürgen Appell (Würzburg) Cited in 8 ReviewsCited in 48 Documents MSC: 47J25 Iterative procedures involving nonlinear operators 47H05 Monotone operators and generalizations 47H09 Contraction-type mappings, nonexpansive mappings, \(A\)-proper mappings, etc. 49M05 Numerical methods based on necessary conditions Keywords:weak convergence; implicit iteration processes; nonexpansive maps PDF BibTeX XML Cite \textit{Y. Zhou} and \textit{S.-S. Chang}, Numer. Funct. Anal. Optim. 23, No. 7--8, 911--921 (2002; Zbl 1041.47048) Full Text: DOI OpenURL References: [1] DOI: 10.1006/jmaa.1996.0308 · Zbl 0956.47024 [2] Chang S.S., J. Korean Math. Soc. 38 pp 1245– (2001) [3] DOI: 10.1090/S0002-9939-1972-0298500-3 [4] Gornicki J., Comment. Math. Univ. Carolin. 301 pp 249– (1989) [5] DOI: 10.1090/S0002-9904-1967-11864-0 · Zbl 0177.19101 [6] Lions P.L., C.R. Acad. Sci. Paris, er. A 284 pp 1357– (1977) [7] DOI: 10.1016/0022-247X(80)90323-6 · Zbl 0437.47047 [8] DOI: 10.1017/S0004972700028884 · Zbl 0709.47051 [9] DOI: 10.1090/S0002-9939-1992-1068133-2 [10] DOI: 10.1007/BF01190119 · Zbl 0797.47036 [11] DOI: 10.1081/NFA-100105317 · Zbl 0999.47043 This reference list is based on information provided by the publisher or from digital mathematics libraries. Its items are heuristically matched to zbMATH identifiers and may contain data conversion errors. It attempts to reflect the references listed in the original paper as accurately as possible without claiming the completeness or perfect precision of the matching.