Results 251 to 260 of about 417,873 (284)

MAKING CONTINUOUS FUNCTIONS LIPSCHITZ

Rocky Mountain Journal of Mathematics
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Artstein, Zvi, Beer, Gerald
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Lipschitz Continuity for Constrained Processes

SIAM Journal on Control and Optimization, 1979
We study Lipschitz continuity properties for “constrained processes”. As applications of our general theory, we consider mathematical programs and optimal control problems. We show that if thegradients of the binding constraints satisfy an independence condition, then the solution and the dual multipliers of a convex mathematical program are a ...
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Extensions of Continuous and Lipschitz Functions

Canadian Mathematical Bulletin, 2000
AbstractWe show a result slightly more general than the following. Let K be a compact Hausdorff space, F a closed subset of K, and d a lower semi-continuous metric on K. Then each continuous function ƒ on F which is Lipschitz in d admits a continuous extension on K which is Lipschitz in d. The extension has the same supremum norm and the same Lipschitz
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Lipschitz and Continuous Optimization

1990
In this chapter, we discuss global optimization problems where the functions in?volved are Lipschitz—continuous or have a related property on certain subsets M c ℝn. Section 1 presents a brief introduction into the most often treated univariate case. Section 2 is devoted to branch and bound methods.
Reiner Horst, Hoang Tuy
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Continuous and Lipschitz Functions

2011
Chapter 1 is intended to give the reader a fairly clear introduction to Part 3 of the book (Chapters 5{8) devoted to extensions of Lipschitz maps between metric spaces. This will be done on the basis of methods and results regarded as \classical" in this rather young field of modern analysis.
Alexander Brudnyi, Yuri Brudnyi
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A Comparison Principle and the Lipschitz Continuity for Minimizers

2001
The authors are interested in the minimizing problem \(\int_{\Omega} L(x,u,\nabla u) \,dx \to \min\) on \(\bar{u}+W^{1,q}_{0}(\Omega)\), \(L(x,z,p)\): \(\Omega \times \mathbb{R}\times \mathbb{R}^{n}\to \mathbb{R}\). Imposing only very weak assumptions (for instance no growth conditions and no differentiability properties on \(L\) are imposed), they ...
MARICONDA, CARLO, TREU, GIULIA
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Lipschitz continuous processes for given marginals

Statistics & Probability Letters, 2003
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An observer for switched Lipschitz continuous systems

International Journal of Control, 2013
In the present work, an alternative approach to the state observation problem for switched Lipschitz continuous systems is proposed. An observer that is based on a concept of observability weaker than that of the instantaneous observability is constructed. Moreover, no strong assumptions are made about the mathematical structure of the observed system.
S. M. Hernandez, Rafael A. García
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Lipschitz continuations of linearly bounded functions

Sbornik: Mathematics, 1998
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On the Lipschitz continuity of the dilation of Bloch functions

Periodica Mathematica Hungarica, 2003
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