Wittmann, Rainer Approximation of fixed points of nonexpansive mappings. (English) Zbl 0797.47036 Arch. Math. 58, No. 5, 486-491 (1992). The author considers an iteration procedure due to B. Halpern [Bull. Am. Math. Soc. 73, 957-961 (1967; Zbl 0177.191)] for nonlinear maps in a Hilbert space. Reviewer: J.Appell (Würzburg) Cited in 23 ReviewsCited in 366 Documents MSC: 47H10 Fixed-point theorems 47H09 Contraction-type mappings, nonexpansive mappings, \(A\)-proper mappings, etc. Keywords:fixed points of nonexpansive mappings; iteration procedure Citations:Zbl 0177.191 × Cite Format Result Cite Review PDF Full Text: DOI References: [1] F. E. Browder, Convergence of approximants to fixed points of nonlinear maps in Banach spaces. Arch. Rational Mech. Anal.24, 82-90 (1967). · Zbl 0148.13601 · doi:10.1007/BF00251595 [2] B. Halpern, Fixed points of nonexpanding maps. Bull. Amer. Math. Soc.73, 957-961 (1967). · Zbl 0177.19101 · doi:10.1090/S0002-9904-1967-11864-0 [3] U.Krengel, Ergodic Theorems. Berlin-New York 1985. [4] M.Lin and R.Wittmann, Pointwise ergodic theorems for certain order preserving mappings inL 1. In: A. Bellow and R. L. Jones, Almost every where convergence. 191-207, London-New York-San Francisco 1991. · Zbl 0759.47006 [5] S. Reich, Strong convergence theorems for resolvents of accretive operators in Banach spaces. J. Math. Anal. Appl.75, 287-292 (1980). · Zbl 0437.47047 · doi:10.1016/0022-247X(80)90323-6 [6] R. Wittmann, Hopf’s ergodic theorem for nonlinear operators. Math. Ann.289, 239-253 (1991). · doi:10.1007/BF01446570 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. In some cases that data have been complemented/enhanced by data from zbMATH Open. This attempts to reflect the references listed in the original paper as accurately as possible without claiming completeness or a perfect matching.