Rafi, Mohd; Noorani, Mohd Salmi Md Fixed point theorems on probabilistic ultra-metric spaces. (English) Zbl 1125.54026 J. Approx. Theory Appl. 1, No. 1, 23-28 (2005). Following essentially the initial study of the Banach contraction theorem in probabilistic metric spaces [V. M. Sehgal and A. T. Bharucha-Reid, Math. Syst. Theory 6, 97–102 (1972; Zbl 0244.60004)], the authors discuss ultrametrics in probabilistic analysis and obtain a fixed point theorem for strictly contracting maps. Reviewer: S. L. Singh (Rishikesh) MSC: 54H25 Fixed-point and coincidence theorems (topological aspects) 54E70 Probabilistic metric spaces 47H10 Fixed-point theorems 47S50 Operator theory in probabilistic metric linear spaces Keywords:fixed point; ultrametric space; probabilistic ultrametric space; strictly contracting map Citations:Zbl 0244.60004 PDFBibTeX XMLCite \textit{M. Rafi} and \textit{M. S. M. Noorani}, J. Approx. Theory Appl. 1, No. 1, 23--28 (2005; Zbl 1125.54026)