Resumen de On a probabilistic version of Meir-Keeler type fixed point theorem for a family of discontinuous operators

Ravindra K Bisht, Vladimir Rakocevic

• A Meir-Keeler type fixed point theorem for a family of mappings is proved in Menger probabilistic metric space (Menger PM-space). We establish that completeness of the space is equivalent to fixed point property for a larger class of mappings that includes continuous as well as discontinuous mappings. In addition to it, a probabilistic fixed point theorem satisfying (ϵ - δ) type non-expansive mappings is established.