Results 11 to 20 of about 1,776 (211)
On Choquet theorem for random upper semicontinuous functions
International Journal of Approximate Reasoning, 2007 Let \((\Omega ,{\mathcal A},P)\) be a probability space, \(E\) a Hausdorff, locally compact and second countable topological space, and \(\mathcal U\) the family of all upper semicontinuous (u.s.c., for short) functions \(f:E\to [0,1]\). Using hypographs, \(\mathcal U\) can be embedded into the space \({\mathcal F}(E\times [0,1])\) of all closed ...
Hung T Nguyen, Yangeng Wang
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Hausdorff Metric on the Space of Upper Semicontinuous Multifunctions
Rocky Mountain Journal of Mathematics, 1992 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Ľubica Holá
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On the Borel Classes of Set-Valued Maps of Two Variables
Annales Mathematicae Silesianae, 2020 Using the Borel classification of set-valued maps, we present here some new results on set-valued maps which are similar to some of the well known theorems on functions due to Lebesgue and Kuratowski.
Holá Ľubica, Kwiecińska Grażyna
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Fixed point theorems and applications in p-vector spaces
Fixed Point Theory and Algorithms for Sciences and Engineering, 2023 The goal of this paper is to develop new fixed points for quasi upper semicontinuous set-valued mappings and compact continuous (single-valued) mappings, and related applications for useful tools in nonlinear analysis by applying the best approximation ...
George Xianzhi Yuan
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On upper semicontinuity of duality mappings [PDF]
Proceedings of the American Mathematical Society, 1994 We give new sufficient conditions for a Banach space to be an Asplund (or reflexive) space in terms of certain upper semicontinuity of the duality mapping.
Contreras, Manuel D., Payá, Rafael
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A simple characterization of the existence of upper semicontinuous order-preserving functions [PDF]
, 2023 We introduce an upper semicontinuity condition concerning a not necessarily total preorder on a topological space, namely strong upper semicontinuity, and in this way we extend to the nontotal case the famous Rader’s theorem,which guarantees the ...
Gianni Bosi, Laura Franzoi
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On the structure of completely useful topologies
Applied General Topology, 2002 Let X be an arbitrary set. Then a topology t on X is completely useful if every upper semicontinuous linear preorder on X can be represented by an upper semicontinuous order preserving real-valued function.
Gianni Bosi, Gerhard Herden
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Upper Semicontinuity of Attractors and Synchronization
Journal of Mathematical Analysis and Applications, 1998 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Carvalho, Alexandre N +2 more
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On the upper semicontinuity of Choquet capacities
International Journal of Approximate Reasoning, 2010 The distribution of a random closed set \(X\) in a locally compact second countable Hausdorff space \(E\) is uniquely determined by its capacity functional \(T(K)=\mathbf{P}(X\cap K\neq\emptyset)\) for all \(K\) from the family \(\mathcal{K}\) of compact sets.
Guo Wei 0004 +3 more
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Subharmonicity without Upper Semicontinuity
Journal of Functional Analysis, 1997 Let \(\Omega\subseteq \mathbb{R}^d\) be open and let \(x\in\Omega\). There are many probability measures \(\mu\) with compact support in \(\Omega\) which have the following property: \(u(x)\leq\int u d\mu\) for every subharmonic function \(u\) on \(\Omega\). (Such a measure is called a Jensen measure for \(x\).) Familiar examples are normalized surface
Cole, B.J, Ransford, T.J
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