Results 211 to 220 of about 1,946 (241)
Some of the next articles are maybe not open access.
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
openaire +1 more source
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
openaire +1 more source
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
openaire +2 more sources
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).
openaire +1 more source
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
openaire +2 more sources
Lipschitz Continuity of inf-Projections
Computational Optimization and Applications, 2003zbMATH Open Web Interface contents unavailable due to conflicting licenses.
openaire +2 more sources
Extensions of Continuous and Lipschitz Functions
Canadian Mathematical Bulletin, 2000AbstractWe 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
openaire +2 more sources
The mean curvature of a Lipschitz continuous manifold
2003For an open set \(U\in\mathbf R^{n+1}\) a function \(H\in L^ 1(U)\) is said to be a variational mean curvature of a given set \(E\subset U\) if \(E\) locally minimizes the functional \(\mathcal F_ H(F) = \int_ U|D\varphi_ F|+\int_{U\cap F}\!H(x)\, dx\).
MASSARI, Umberto +2 more
openaire +3 more sources
Convexity and local Lipschitz continuity of fuzzy-valued mappings
Fuzzy Sets and Systems, 1998Nagata Furukawa
exaly