Results 21 to 30 of about 129,728 (246)
On the experimental investigation of Pareto–Lipschitzian optimization
Lietuvos Matematikos Rinkinys, 2011 A well-known example of global optimization that provides solutions within fixed error limits is optimization of functions with a known Lipschitz constant. In many real-life problems this constant is unknown.
Jonas Mockus, Justas Stašionis
doaj +1 more source
Monotonicity preserving approximation of multivariate scattered data [PDF]
, 2005 This paper describes a new method of monotone interpolation and smoothing of multivariate scattered data. It is based on the assumption that the function to be approximated is Lipschitz continuous.
Beliakov, Gleb
core +1 more source
Lusin type theorems for Radon measures [PDF]
, 2016 We add to the literature the following observation. If $\mu$ is a singular measure on $\mathbb{R}^n$ which assigns measure zero to every porous set and $f:\mathbb{R}^n\rightarrow\mathbb{R}$ is a Lipschitz function which is non-differentiable $\mu$-a.e ...
Marchese, Andrea
core +2 more sources
Essentially Smooth Lipschitz Functions
Journal of Functional Analysis, 1997 The authors observe fundamental questions regarding the differentiability structure of locally Lipschitz functions defined on Banach spaces. So the following 3 significant properties are discussed: (P1) \(D\)-representability, which means Gâteaux-differentiability on a dense subset \(D\) of the domain and the description of the Clarke subdifferential ...
Borwein, Jonathan M., Moors, Warren B.
openaire +2 more sources
Lipschitz Continuity of Convex Functions [PDF]
Applied Mathematics & Optimization, 2020 17 ...
Bao Tran Nguyen, Pham Duy Khanh
openaire +4 more sources
Lipschitz and bi-Lipschitz Functions
Revista Matemática Iberoamericana, 1988 Let \(f\) be a Lipschitz mapping of a unit cube \(Q_ 0\subset\mathbb{R}^ n\) into \(\mathbb{R}^ m\). The author proves that for each \(\delta>0\) there exist \(M\in\mathbb{R}\) and sets \(K_ 1,\dots,K_ M\subset Q_ 0\) such that the Hausdorff content of \(f\Bigl(Q_ 0\backslash \bigcup^ M_{j=1} K_ j\Bigr)\) is less than \(\delta\) and \(| f(x)- f(y)|
openaire +2 more sources
Flattening Functions on Flowers
, 2007 Let $T$ be an orientation-preserving Lipschitz expanding map of the circle $\T$. A pre-image selector is a map $\tau:\T\to\T$ with finitely many discontinuities, each of which is a jump discontinuity, and such that $\tau(x)\in T^{-1}(x)$ for all $x\in\T$.
Harriss, E., Jenkinson, O.
core +2 more sources
Lipschitz Image of Lipschitz Functions
Real Analysis Exchange, 2002 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
openaire +2 more sources
Lipschitz functions on topometric spaces
, 2013 We study functions on topometric spaces which are both (metrically) Lipschitz and (topologically) continuous, using them in contexts where, in classical topology, ordinary continuous functions are used.
Yaacov, Itaï Ben
core +2 more sources
Bessel Transform of -Bessel Lipschitz Functions
Journal of Mathematics, 2013 Using a generalized translation operator, we obtain an analog of Theorem 5.2 in Younis (1986) for the Bessel transform for functions satisfying the -Bessel Lipschitz condition in .
Radouan Daher, Mohamed El Hamma
doaj +1 more source