Results 231 to 240 of about 72,220 (275)

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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Optimization of lipschitz continuous functions

Mathematical Programming, 1977
This paper contains basic results that are useful for building algorithms for the optimization of Lipschitz continuous functionsf on compact subsets of En. In this settingf is differentiable a.e. The theory involves a set-valued mappingxźźźf(x) whose range is the convex hull of existing values of źf and limits of źf on a closedź-ball,B(x, ź).
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Lipschitz continuity of copulas w.r.t. -norms

Nonlinear Analysis: Theory, Methods & Applications, 2010
Binary aggregation functions, i.e. increasing functions \(A : [0, 1]^2 \rightarrow [0, 1]\), satisfying the conditions \(A(0,0)=0\), \(A(1,1)=1\), are of interest in the paper. The smallest and greatest binary aggregation functions, which are \(1-p\)-Lipschitz, are Yager's triangular norm \[ T_p^Y(x,y)= \begin{cases} \max\{0,1-((1-x)^p+ (1-y)^p)^{1/p}\}
De Baets, B., De Meyer, H., Mesiar, R.
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Lipschitz Continuity of inf-Projections

Computational Optimization and Applications, 2003
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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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Extending Lipschitz mappings continuously

Journal of Applied Analysis, 2012
Summary: We consider short mappings from a bounded subset of a Euclidean space into that space, that is, mappings which do not increase distances between points. By Kirszbraun's theorem any such mapping can be extended to the entire space to be short again. In general, the extension is not unique.
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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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Lipschitz continuous processes for given marginals

Statistics & Probability Letters, 2003
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Lipschitz Continuity of Approximate Reasoning

2008 Ninth ACIS International Conference on Software Engineering, Artificial Intelligence, Networking, and Parallel/Distributed Computing, 2008
Lipschitz continuity of some approximate reasoning methods on the premise variables are described to guarantee the existence of the unique solution of the state equation of a fuzzy control. To obtain this result, some conditions must be given to the set of membership functions. Then we introduce some sets of membership functions used in Mamdani method,
Takashi Mitsuishi, Takanori Terashima, Toshimichi Homma, Yasunari Shidama   +3 more
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