Random P-Normed Spaces and Applications to Random Functions
Ioan Goleţ · DergiPark (Istanbul University) · 2012
In this paper the concept of random p-normed space is introduced.This structure is a slight enlargement of the concept of the random normed space.Some topological properties of random p-normed spaces are analyzed.Examples of random p-normed spaces together with their connections with deterministic p-normed spaces are also given.Approximation theorems for functions with values in a random p-normed spaces are proved and applications to the study of function with a random parameter are stated.1