Results 241 to 250 of about 417,873 (284)
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The Preservation of Continuity and Lipschitz Continuity by Optimal Reward Operators
Mathematics of Operations Research, 2004We give necessary and sufficient conditions for certain optimal reward operators to preserve continuity and Lipschitz continuity.
William Sudderth, Rida Laraki
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Lipschitz continuity of interpolation
Systems and Control Letters, 1990Abstract 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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On the Lipschitz continuity of derivatives for some scalar nonlinearities [PDF]
Journal of Mathematical Analysis and Applications, 2008 Vector nonlinearities determined by a scalar function arise in various mathematical models. The numerical solution of the corresponding partial differential equations often rely on the Lipschitz continuity of the derivative of the nonlinear operator.
Karátson János
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Lipschitz continuity of triangular subnorms
Fuzzy Sets and Systems, 2014zbMATH Open Web Interface contents unavailable due to conflicting licenses.
GHISELLI RICCI, Roberto +2 more
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Random reals and Lipschitz continuity
Mathematical Structures in Computer Science, 2006Lipschitz continuity is used as a tool for analysing the relationship between incomputability and randomness. We present a simpler proof of one of the major results in this area – the theorem of Yu and Ding, which states that there exists no cl-complete c.e. real – and go on to consider the global theory.
Andrew E. M. Lewis, George Barmpalias
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Lipschitz-continuity of Spherically Convex Functions
Acta Mathematica Sinica, English Series, 2023As 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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Optimization of lipschitz continuous functions
Mathematical Programming, 1977This 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 Approximate Reasoning
2008 Ninth ACIS International Conference on Software Engineering, Artificial Intelligence, Networking, and Parallel/Distributed Computing, 2008Lipschitz 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 +3 more
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On lipschitz continuity of quasiconformalmappings in space
Journal d'Analyse Mathématique, 2009For a quasiconformal (qc) homeomorphism \(f: D \to D'\) between subdomains \(D, D' \subset \mathbb{R}^n\), \( n\geq 2\), let \(Z_f\) stand for the set of those points where the mapping \(f\) is not differentiable or where the Jacobian matrix is degenerate. It is a basic property that \(Z_f\) has \(n\)-dimensional measure zero.
Gutlyanskiĭ, Vladimir Ya. +1 more
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Lipschitz Continuity of inf-Projections
Computational Optimization and Applications, 2003zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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