×

zbMATH — the first resource for mathematics

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
PDF BibTeX XML Cite
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.