共查询到19条相似文献,搜索用时 93 毫秒
1.
讨论了模糊数序列在EW-型积分度量下的收敛性问题.首先给出了模糊数序列关于EW-型积分度量、水平EW-型度量以及水平EW-型测度收敛的概念;其次,讨论了模糊数序列关于EW-型积分度量、下方图度量以及水平度量收敛之间的关系,证明了在一定条件下模糊数序列关于EW-型积分度量、下方图度量以及水平度量收敛的等价性. 相似文献
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证明了紧承下方图度量不是平移不变的.对紧承下方图度量的代数运算的连续性进行了讨论.证明了关于紧承下方图度量,模糊数空间只能是嵌入到拓扑向量空间当中,但不嵌入赋范线性空间当中.并与关于上确界度量的结果进行了比较.最后,给出了一个紧承下方图度量的下界. 相似文献
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首先考察模糊数空间中Skorokhod度量与紧承下方图度量之间的关系,然后说明了文献[4]中的关于Skorokhod拓扑紧致性的例子是错误的并给出了正确的例子. 相似文献
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基于模糊积分的一类图像度量 总被引:7,自引:0,他引:7
通过(S)型模糊积分和(G)型模糊积分定义一类新的图像度量,实验证明,在衡量图像失真度方面该图像度量比传统的图你度量(包括峰值信噪比PSNR))更合适于人类的视觉系统。 相似文献
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非紧超凸度量空间中的Browder不动点定理及其对重合问题的应用 总被引:23,自引:1,他引:22
在非紧超凸度量空间中的非紧允许集上,建立了一个新的Browder不动点定理.作为应用,在非紧超凸度量空间中,研究了Ky Fan截口问题和相交问题,并新建了两个Ky Fan重合定理. 相似文献
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In this paper we address the issue of uniformly positive scalar curvature on noncompact 3-manifolds. In particular we show
that the Whitehead manifold lacks such a metric, and in fact that
\mathbbR3{\mathbb{R}^3} is the only contractible noncompact 3-manifold with a metric of uniformly positive scalar curvature. We also describe contractible
noncompact manifolds of higher dimension exhibiting this curvature phenomenon. Lastly we characterize all connected oriented
3-manifolds with finitely generated fundamental group allowing such a metric. 相似文献
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We prove several facts about the Yamabe constant of Riemannian metrics on general noncompact manifolds and about S. Kim’s closely related “Yamabe constant at infinity”. In particular, we show that the Yamabe constant depends continuously on the Riemannian metric with respect to the fine C 2-topology, and that the Yamabe constant at infinity is even locally constant with respect to this topology. We also discuss to what extent the Yamabe constant is continuous with respect to coarser topologies on the space of Riemannian metrics. 相似文献
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Real flag manifolds are the isotropy orbits of noncompact symmetricspaces G/K. Any such manifold M is acted on transitively bythe (noncompact) Lie group G, and it is embedded in euclideanspace as a taut submanifold. The aim of this paper is to showthat the gradient flow of any height function is a one-parametersubgroup of G, where the gradient is defined with respect toa suitable homogeneous metric s on M; this generalizes the Kählermetric on adjoint orbits (the so-called complex flag manifolds).2000 Mathematics Subject Classification 53C30, 53C35. 相似文献
15.
WEI ShuYun 《中国科学 数学(英文版)》2011,(5)
Let X be a noncompact discrete metric space with bounded geometry. Associated with X are two C*-algebras, the so-called uniform Roe algebra B*(X) and coarse Roe algebra C*(X), which arose from the index theory on noncompact complete Riemannian manifolds. In this paper, we describe the quasidiagonality of B*(X) and C*(X) in terms of coarse geometric invariants. Some necessary and suficient conditions are given, which involve the Fredholm index and coarse connectedness of metric spaces. 相似文献
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In this paper, a new Browder fixed point theorem is established in the noncompact sub-admissible subsets of noncompact hyperconvex metric spaces. As application, a Ky Fan section theorem and an intersection theorem are obtained. 相似文献
17.
Gerald Beer 《Monatshefte für Mathematik》2000,129(4):267-280
By a metric mode of convergence to infinity in a regular Hausdorff space X, we mean a sequence of closed subsets of X with and , and a sequence (or net) in X is convergent to infinity with respect to provided for each contains eventually. Modulo a natural equivalence relation, these correspond to one-point extensions of the space with a countable
base at the ideal point, and in the metrizable setting, they correspond to metric boundedness structures for the space. In
this article, we study the interplay between these objects and certain continuous functions that may determine the metric
mode of convergence to infinity, called forcing functions. Falling out of our results is a simple proof that each noncompact
metrizable space admits uncountably many distinct metric uniformities.
(Received 2 March 1999) 相似文献
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Gerald Beer 《Monatshefte für Mathematik》2000,7(3):267-280
By a metric mode of convergence to infinity in a regular Hausdorff space X, we mean a sequence of closed subsets of X with and , and a sequence (or net) in X is convergent to infinity with respect to provided for each contains eventually. Modulo a natural equivalence relation, these correspond to one-point extensions of the space with a countable base at the ideal point, and in the metrizable setting, they correspond to metric boundedness structures for the space. In this article, we study the interplay between these objects and certain continuous functions that may determine the metric mode of convergence to infinity, called forcing functions. Falling out of our results is a simple proof that each noncompact metrizable space admits uncountably many distinct metric uniformities. 相似文献
19.
Dezhou Kong Lishan Liu Yonghong Wu 《Journal of Optimization Theory and Applications》2017,175(2):341-355
In this paper, as the extension of the isotonicity of the metric projection, the isotonicity characterizations with respect to two arbitrary order relations induced by cones of the metric projection operator are studied in Hilbert spaces, when one cone is a subdual cone and some relations between the two orders hold. Moreover, if the metric projection is not isotone in the whole space, we prove that the metric projection is isotone in some domains in both Hilbert lattices and Hilbert quasi-lattices. By using the isotonicity characterizations with respect to two arbitrary order relations of the metric projection, some solvability and approximation theorems for the complementarity problems are obtained. Our results generalize and improve various recent results in the field of study. 相似文献