Beg, Ismat; Abbas, Mujahid Fixed points and invariant approximation in random normed spaces. (English) Zbl 1212.47038 Carpathian J. Math. 26, No. 1, 36-40 (2010). Summary: The aim of this paper is to provide necessary conditions for the existence of fixed points of nonexpansive mappings on a nonconvex domain of a random normed space. As an application, related results on invariant approximation are also derived. Cited in 3 Documents MSC: 47H10 Fixed-point theorems 47H09 Contraction-type mappings, nonexpansive mappings, \(A\)-proper mappings, etc. 41A50 Best approximation, Chebyshev systems 47H40 Random nonlinear operators Keywords:random normed space; fixed point; nonexpansive mapping, invariant approximation PDFBibTeX XMLCite \textit{I. Beg} and \textit{M. Abbas}, Carpathian J. Math. 26, No. 1, 36--40 (2010; Zbl 1212.47038)