Results 11 to 20 of about 2,723,896 (281)
Lipschitz functions on topometric spaces
Journal of Logic and Analysis, 2013 We study functions on topometric spaces which are both (metrically) Lipschitz and (topologically) continuous, using them in contexts where, in classical topology, ordinary continuous functions are used.
Ben Yaacov, Itaï
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Bornologies and locally lipschitz functions
Bulletin of the Australian Mathematical Society, 2014 Let hX, di be a metric space. We characterise the family of subsets of X on which each locally Lipschitz function defined on X is bounded, as well as the family of subsets on which each member of two different subfamilies consisting of uniformly locally ...
Garrido Carballo, María Isabel
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Smooth Approximation of Lipschitz Functions on Finsler Manifolds [PDF]
Journal of Function Spaces and Applications, 2013 We study the smooth approximation of Lipschitz functions on Finsler manifolds, keeping control on the corresponding Lipschitz constants. We prove that, given a Lipschitz function f:M→ℝ defined on a connected, second countable Finsler manifold M, for each
M. I. Garrido +2 more
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Extension of Lipschitz functions [PDF]
Mathematical Notes of the Academy of Sciences of the USSR, 1980 A function satisfying a Lipschitz property on an arbitrary set S is extended to the whole space E preserving the Lipschitz condition. This extension is obtained by performing the infimal convolution of two functions associated with the data of the ...
Hiriart-Urruty, J.-B
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, 2019 The aim of this book is to present various facets of the theory and applications of Lipschitz functions, starting with classical and culminating with some recent results.
Miculescu, Radu +2 more
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Essentially Smooth Lipschitz Functions [PDF]
Journal of Functional Analysis, 1997 In this paper we address some of the most fundamental questions regarding the differentiability structure of locally Lipschitz functions defined on separable Banach spaces. For example, we examine the relationship between integrability,D-representability,
Moors, Warren B., Borwein, Jonathan M.
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CONTROLLING LIPSCHITZ FUNCTIONS [PDF]
Mathematika, 2018 Given any positive integers $m$ and $d$, we say the a sequence of points $(x_i)_{i\in I}$ in $\mathbb R^m$ is {\em Lipschitz-$d$-controlling} if one can select suitable values $y_i\; (i\in I)$ such that for every Lipschitz function $f:\mathbb R^m\rightarrow \mathbb R^d$ there exists $i$ with $|f(x_i)-y_i|<1$. We conjecture that for every $m\le d$, a
Kupavskii, Andrey +2 more
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Lipschitz differences and Lipschitz functions [PDF]
Colloquium Mathematicum, 1997 Let \(G\) be any of the groups \(R\) or \(T= R/Z\) (the circle group) and, for every \(L >0\), set \( \text{ Lip}_L(G) = \{g:G \to R\;\text{ such \;that \;} |g(x)-g(y)|\leq L |x-y|\;\forall x,y \in G\}, \;\text{ Lip}(G) = \bigcup_{L>0} \text{ Lip}_L(G)\).
Balcerzak, Marek +2 more
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Operator Lipschitz functions [PDF]
Russian Mathematical Surveys, 2016 109 pages, in ...
Aleksandrov, Aleksei, Peller, Vladimir
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Lipschitz Bernoulli Utility Functions
Mathematics of Operations Research, 2023 We obtain several variants of the classic von Neumann–Morgenstern expected utility theorem with and without the completeness axiom in which the derived Bernoulli utility functions are Lipschitz. The prize space in these results is an arbitrary separable metric space, and the utility functions are allowed to be unbounded.
Efe A. Ok, Nik Weaver
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