Autocontinuity And Convergence In Measure Of Measurable Functions On Set-valued Monotone Measure Spaces

In this paper,we main study the continuity and convergence in measure of measurable functions on Set-valued Monotone Measure Spaces.The following is our main work which consists of two parts:In the first part,set-valued null-additive,set-valued autocontinuity,set-valued uniformly autocontinuity,set-valued pseudo-null-additive,set-valued pseudo-autocontinuity,set-valued uniformly pseudo-autocontinuity and so on,are defined on set-valued monotone measure spaces.And some relationships among them are further discussed.In the second part,order continuity and double asymptotic null-additivity are discussed in the monotone set-valued measure space.Then,some relationships among the properties of monotone set-valued measures and convergence in measure of measurable functions are studied on set-valued monotone measure spaces.