Results 201 to 210 of about 1,833 (248)

Lipschitz-continuity of Spherically Convex Functions

Acta Mathematica Sinica, English Series, 2023
As announced in the title, this article deals with the Lipschitz-continuity properties of spherically convex functions. In particular, it is proven that, under weak hypotheses, every family of spherically convex functions is equi-Lipschitzian on each closed spherically convex subset contained in the relative interior of their common domain.
Zhang, Yin, Guo, Qi
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Lipschitz continuity of triangular subnorms

Fuzzy Sets and Systems, 2014
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GHISELLI RICCI, Roberto, Radko Mesiar, Andrea Mesiarová Zemánková   +2 more
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Lipschitz continuity of interpolation

Systems & Control Letters, 1990
Abstract Optimal H ∞ interpolants may be infinitely sensitive to data. However, δ-suboptimal interpolants of the AAK central (maximal entropy) type are shown to satisfy a Lipschitz condition with respect to data.
L.Y. Wang, G. Zames
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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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