×

zbMATH — the first resource for mathematics

Fixed point iteration for local strictly pseudo-contractive mapping. (English) Zbl 0734.47042
The author studies iterates of locally strictly pseudo-contractive mappings in uniformly smooth Banach spaces and their convergence to fixed points.

MSC:
47H10 Fixed-point theorems
47H09 Contraction-type mappings, nonexpansive mappings, \(A\)-proper mappings, etc.
PDF BibTeX XML Cite
Full Text: DOI
References:
[1] Ya. I. Al’ber and A. I. Notik, Geometric properties of Banach spaces and approximate methods for solving nonlinear operator equations, Soviet Math. Dokl. 29 (1984), 611-615. · Zbl 0591.47051
[2] C. E. Chidume, Iterative approximation of fixed points of Lipschitzian strictly pseudocontractive mappings, Proc. Amer. Math. Soc. 99 (1987), no. 2, 283 – 288. · Zbl 0646.47037
[3] Tosio Kato, Nonlinear semigroups and evolution equations, J. Math. Soc. Japan 19 (1967), 508 – 520. · Zbl 0163.38303 · doi:10.2969/jmsj/01940508 · doi.org
[4] Simeon Reich, An iterative procedure for constructing zeros of accretive sets in Banach spaces, Nonlinear Anal. 2 (1978), no. 1, 85 – 92. · Zbl 0375.47032 · doi:10.1016/0362-546X(78)90044-5 · doi.org
[5] -, Constructive techniques for accretive and monotone operators, Appl. Nonlinear Anal. Arlington, TX, 1979. · Zbl 0444.47042
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.