Hadžić, O.; Pap, E.; Radu, V. Generalized contraction mapping principles in probabilistic metric spaces. (English) Zbl 1050.47052 Acta Math. Hung. 101, No. 1-2, 131-148 (2003). Let \((S,{\mathcal F}, T)\) be a complete Menger space and \(f:S\to S\) an operator. The authors give conditions which imply that \(f\) has a unique fixed point which is globally attractive. The case when \((S, {\mathcal F} , T)\) is a complete random normed space is also discussed. Some applications are given. Reviewer: Ioan A. Rus (Cluj-Napoca) Cited in 22 Documents MSC: 47H10 Fixed-point theorems 54H25 Fixed-point and coincidence theorems (topological aspects) 47S50 Operator theory in probabilistic metric linear spaces Keywords:generalized probabilistic contraction mapping; probabilistic metric space; fixed point; triangular norm; random normed space; admissible subset PDFBibTeX XMLCite \textit{O. Hadžić} et al., Acta Math. Hung. 101, No. 1--2, 131--148 (2003; Zbl 1050.47052) Full Text: DOI