Sastry, K. P. R.; Babu, G. V. R. Approximation of fixed points of strictly pseudocontractive mappings on arbitrary closed, convex sets in a Banach space. (English) Zbl 0956.47040 Proc. Am. Math. Soc. 128, No. 10, 2907-2909 (2000). The authors show that any fixed point of a Lipschitzian, strictly pseudocontractive mapping \(T\) on a closed, convex subset \(K\) of a Banach space \(X\) is necessarily unique, and may be norm approximated by an iterative procedure. Our argument provides a convergence rate estimate and removes the boundedness assumption on \(K\), generalizing theorems of Liu. Reviewer: Ulrich Kosel (Freiberg) Cited in 1 ReviewCited in 9 Documents MSC: 47J25 Iterative procedures involving nonlinear operators 47H09 Contraction-type mappings, nonexpansive mappings, \(A\)-proper mappings, etc. Keywords:Lipschitzian mapping; strictly pseudocontractive mapping; fixed point PDF BibTeX XML Cite \textit{K. P. R. Sastry} and \textit{G. V. R. Babu}, Proc. Am. Math. Soc. 128, No. 10, 2907--2909 (2000; Zbl 0956.47040) Full Text: DOI References: [1] Liwei Liu, Approximation of fixed points of a strictly pseudocontractive mapping, Proc. Amer. Math. Soc. 125 (1997), no. 5, 1363 – 1366. · Zbl 0870.47039 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.