Generalized contraction mapping principles in probabilistic metric spaces
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.
generalized probabilistic contraction mapping
scientific article; zbMATH DE number 2099083