THE APPLICATION OF RANDOM METRIC SPACE IN ERROR ESTIMATE

Throughout this paper,let（Ω,ι,μ）be a probability space,D the collection of allleft-continuous distribution functions,and D;={F（0）=0|F∈D},and L（Ω）the collec-tion of all random variables which is a.s.finite on Ω,and L;={ξ≥0 a.s.|ξ∈L（Ω）}.For random metric （normed） spaces,see [1]or[2].Theorem 1 Let（M,d）be a complete metric space f:M→M,a contract mappingwith contract coefficient α∈[0,1),L（Ω,m）the collection of all M-valued random vari-