首页 | 本学科首页   官方微博 | 高级检索  
     检索      


Multifunctions on abstract measurable spaces and application to stochastic decision theory
Authors:C J Himmelberg  F S Van Vleck
Institution:(1) Lawrence, Kansas
Abstract:Summary The main results are some very general theorems about measurable multifunctions on abstract measurable spaces with compact values in a separable metric space. It is shown that measurability is equivalent to the existence of a pointwise dense countable family of measurable selectors, and that the intersection of two compact-valued measurable multifunctions is measurable. These results are used to obtain a Filippov type implicit function theorem, and a general theorem concerning the measurability of y(t)=min f({t} × Γ(t)) when f is a real valued function and Γ a compact valued multifunction. An application to stochastic decision theory is given generalizing a result of Benes. The research in this paper was partially supported by University of Kansas General Research Fund Grants 3918-5038 and 3199-5038. Entrata in Redazione il 20 dicembre 1972.
Keywords:
本文献已被 SpringerLink 等数据库收录!
设为首页 | 免责声明 | 关于勤云 | 加入收藏

Copyright©北京勤云科技发展有限公司  京ICP备09084417号