Baronti, Marco Some remarks on the fixed point stability for nonexpansive mappings. (English) Zbl 0764.47035 Publ. Inst. Math., Nouv. Sér. 49(63), 133-136 (1991). The article presents some conditions under which the weak limit \(x\) of the sequence of fixed points \(x_ n\) for nonexpansive mappings \(T_ n\) of a nonempty weakly closed subsets of some Banach space \(X\) into a family of nonempty closed subsets of \(X\) is a fixed point for another nonexpansive mapping \(T\). Reviewer: P.Zabreiko (Minsk) MSC: 47J25 Iterative procedures involving nonlinear operators 46B20 Geometry and structure of normed linear spaces 47H09 Contraction-type mappings, nonexpansive mappings, \(A\)-proper mappings, etc. Keywords:weak limit; sequence of fixed points; nonexpansive mappings PDFBibTeX XMLCite \textit{M. Baronti}, Publ. Inst. Math., Nouv. Sér. 49(63), 133--136 (1991; Zbl 0764.47035)