共查询到20条相似文献,搜索用时 62 毫秒
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本文首先讨论由正则半狄氏型所定义的一些概念与由相应Hunt过程所定义的一些慨念之间的关系,主要证明了例外集、ε-例外集与半极集的等价性,q.e.精连续函数与ε-拟连续函数的等价性.接着讨论正则半狄氏型的部分,证明了正则半狄氏型在一个开集上的部分仍是一个正则半狄氏型. 相似文献
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本文的主要目的是建立收缩核与近似连续之间的联系,基于半连续函数概念,我们构造了一类收缩核,得到了关于这一概念的许多的性质与例子,证明并解释了半收缩核与拓扑折送之间的关系。 相似文献
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拟凸函数判别准则的一个注记 总被引:6,自引:0,他引:6
我们在上半连续的条件下,给出了拟凸函数的一个新的判别准则,即:凸集上的一个上半连续函数是拟凸的充分必要条件是这个函数是中间拟凸的。 相似文献
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假设X是局部凸Hausdorff拓扑向量空间,C是X的闭凸子集,T是一下标集(可以是无限集),假设{ft:t∈T}是一X到R ∪{+∞}的真凸下半连续函数簇,而f:x→R∪{+∞}是一真凸下半连续函数. 相似文献
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超连续格(超连续完备半格)可以由函数空间刻画,并且超连续格(超连续完备半格)在Scott连续函数空间下是封闭的,进而其相应的范畴均是Cartesian闭范畴. 相似文献
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超连续格(超连续完备半格)可以由函数空间刻画,并且超连续格(超连续完备半格)在Scott连续函数空间下是封闭的,进而其相应的范畴均是Cartesian闭范畴. 相似文献
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Leonardo M. Elias 《Optimization》2016,65(4):751-763
We present two generalized conjugation schemes for lower semi-continuous functions defined on a real Banach space whose norm is Fréchet differentiable off the origin, and sketch their applications to optimization duality theory. Both approaches are based upon a new characterization of lower semi-continuous functions as pointwise suprema of a special class of continuous functions. 相似文献
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J.H. van der Walt 《Journal of Mathematical Analysis and Applications》2012,388(2):739-752
In this paper we investigate how three well-known modes of convergence for (real-valued) functions are related to one another. In particular, we consider order convergence, pointwise convergence and continuous convergence of sequences of nearly finite normal lower semi-continuous functions. There is a natural comparison to be made between the results we obtain for convergence of sequences of semi-continuous functions, and classic results on the convergence of sequences of measurable functions. 相似文献
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本引进了平移下半连续对应,将定理A由下半连续实值函数的情形推广 移下半连续对应的情形,并在序空间中证明了一个序不等式。 相似文献
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Wilfredo Sosa 《Journal of Optimization Theory and Applications》2013,159(3):795-804
In this work, we introduce a Representation of continuous real-valued functions defined over a real Hilbert space. As a consequence, we can introduce a Sandwich Theorem for semi-continuous functions, a Separation Theorem for closed sets and a representation Theorem of lower semi-continuous functions. 相似文献
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Samuel Drapeau Andreas H. Hamel Michael Kupper 《Set-Valued and Variational Analysis》2016,24(2):253-275
This paper provides a unique dual representation of set-valued lower semi-continuous quasiconvex and convex functions. The results are based on a duality result for increasing set-valued functions. 相似文献
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In this paper, we develop a sufficient condition for the inverse limit of upper semi-continuous functions to be an indecomposable continuum. This condition generalizes and extends those of Ingram and Varagona. Additionally, we demonstrate a method of constructing upper semi-continuous functions whose inverse limit has the full projection property. 相似文献
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Lower semi-continuity from above or upper semi-continuity from below has been used by many authors in recent papers. In this paper, we first study the weak semi-continuity for vector functions having particular form as that of Browder in ordered normed vector spaces; we obtain several new results on the lower semi-continuity from above or upper semi-continuity from below for these vector functions. Our results generalize some well-known results of Browder in scalar case. Secondly, we study the minimum or maximum problems for vector functions satisfying lower semi-continuous from above or upper semi-continuous from below conditions; several new results on the existence of minimal points or maximal points are obtained. We also use these results to study vector equilibrium problems and von Neumann’s minimax principle in ordered normed vector spaces. 相似文献
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This paper shows that every extended-real-valued lower semi-continuous proper (respectively Lipschitzian) convex function defined on an Asplund space can be represented as the point-wise limit (respectively uniform limit on every bounded set) of a sequence of Lipschitzian convex functions which are locally affine (hence, C∞) at all points of a dense open subset; and shows an analogous for w∗-lower semi-continuous proper (respectively Lipschitzian) convex functions defined on dual spaces whose pre-duals have the Radon-Nikodym property. 相似文献
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Stanley R. Pliska 《Stochastic Processes and their Applications》1975,3(3):259-282
Finite and infinite planning horizon Markov decision problems are formulated for a class of jump processes with general state and action spaces and controls which are measurable functions on the time axis taking values in an appropriate metrizable vector space. For the finite horizon problem, the maximum expected reward is the unique solution, which exists, of a certain differential equation and is a strongly continuous function in the space of upper semi-continuous functions. A necessary and sufficient condition is provided for an admissible control to be optimal, and a sufficient condition is provided for the existence of a measurable optimal policy. For the infinite horizon problem, the maximum expected total reward is the fixed point of a certain operator on the space of upper semi-continuous functions. A stationary policy is optimal over all measurable policies in the transient and discounted cases as well as, with certain added conditions, in the positive and negative cases. 相似文献