共查询到17条相似文献,搜索用时 46 毫秒
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引入实值函数关于有界闭凸值测度的集值积分,并讨论了集值积分的收敛定理,证明了当集值测度为有界闭凸集值的有界变差集值测度时,关于弱紧凸集值测度的积分性质对有界闭凸集值测度仍然保持.推广了实值函数关于弱紧凸值测度的积分. 相似文献
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本文研究了集值可积变差随机过程的可选和可料对偶投影.当Banach空间X具有RNP,其对偶空间X*可分时,证明了Pwkc(X)值的可积变差过程存在唯一的可选和可料对偶投影.最后讨论了集值随机过程对偶投影的性质. 相似文献
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林一星 《纯粹数学与应用数学》2012,(1):99-108
对拟连续测度空间(G,β,u)的一致有界等度连续函数族,通过包含关系,取凸包和闭包,构造了在Pbkc(c[0,1])与Pbkc(Lp[0,1])取值的集值随机变量及连续的集值映射,深化了集值随机过程理论研究. 相似文献
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集值Lebesgue—Stieltjes积分 总被引:6,自引:2,他引:6
本文首先刻划了B(R_ )上的集值测度,其次建立了(R_ B(R_ ))上的集值Lebesgue-Stieltjes积分.最后,进—步建立了集值随机Lebesgue-Stietjes积分的理论. 相似文献
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V. Zh. Sakbaev 《Computational Mathematics and Mathematical Physics》2006,46(4):651-665
The Cauchy problem for the Schrödinger equation with an operator degenerating on a half-line and a family of regularized Cauchy problems with uniformly elliptic operators, whose solutions approximate the solution to the degenerate problem, are considered. A set-valued mapping is investigated that takes a bounded operator to a set of partial limits of values of its quadratic form on solutions of the regularized problems when the regularization parameter tends to zero. The dynamics of quantum states are determined by applying an averaging procedure to the set-valued mapping. 相似文献
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首先给出有界闭凸集值序增函数以及有界闭凸集序增过程的定义;然后讨论了有界闭凸集值序增函数以及有界闭凸集值序增过程的性质. 相似文献
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In this paper we introduce a new definition of BV based on measure upper gradients and prove the equivalence of this definition, and the coincidence of the corresponding notions of total variation, with the definitions based on relaxation of L1 norm of the slope of Lipschitz functions or upper gradients. As in the previous work by the first author with Gigli and Savaré in the Sobolev case, the proof requires neither local compactness nor doubling and Poincaré. 相似文献
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Francesco S. de Blasi Józef Myjak Simeon Reich Alexander J. Zaslavski 《Set-Valued and Variational Analysis》2009,17(1):97-112
We study nonexpansive set-valued maps in Banach and metric spaces. We are concerned, in particular, with the generic existence
and approximation of fixed points, as well as with the structure of fixed point sets.
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