Xu, Hong-Kun Another control condition in an iterative method for nonexpansive mappings. (English) Zbl 1030.47036 Bull. Aust. Math. Soc. 65, No. 1, 109-113 (2002). The author proves the convergence of an iterative method to approximate a fixed point of a nonexpansive mapping in a uniformly smooth Banach space. Reviewer: Ioan A.Rus (Cluj-Napoca) Cited in 3 ReviewsCited in 195 Documents MSC: 47H09 Contraction-type mappings, nonexpansive mappings, \(A\)-proper mappings, etc. 47H10 Fixed-point theorems 65J15 Numerical solutions to equations with nonlinear operators 47J25 Iterative procedures involving nonlinear operators Keywords:fixed points; nonexpansive mappings; iterative methods PDF BibTeX XML Cite \textit{H.-K. Xu}, Bull. Aust. Math. Soc. 65, No. 1, 109--113 (2002; Zbl 1030.47036) Full Text: DOI References: [1] DOI: 10.1007/BF01190119 · Zbl 0797.47036 [2] DOI: 10.1090/S0002-9939-97-04033-1 · Zbl 0888.47034 [3] Reich, Panamer. Math. J. 4 pp 23– (1994) [4] DOI: 10.1007/BF00251595 · Zbl 0148.13601 [5] Lions, C.R. Acad. Sci. Paris, Sér. A 284 pp 1357– (1977) [6] DOI: 10.1090/S0002-9904-1967-11864-0 · Zbl 0177.19101 [7] DOI: 10.1016/0022-247X(80)90323-6 · Zbl 0437.47047 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.