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Another control condition in an iterative method for nonexpansive mappings. (English) Zbl 1030.47036
The author proves the convergence of an iterative method to approximate a fixed point of a nonexpansive mapping in a uniformly smooth Banach space.

##### 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
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##### 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
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