Results 11 to 20 of about 9,704 (289)

Smooth Approximation of Lipschitz Functions on Finsler Manifolds [PDF]

Journal of Function Spaces and Applications, 2013
We study the smooth approximation of Lipschitz functions on Finsler manifolds, keeping control on the corresponding Lipschitz constants. We prove that, given a Lipschitz function f:M→ℝ defined on a connected, second countable Finsler manifold M, for each
M. I. Garrido, J. A. Jaramillo, Y. C. Rangel   +2 more
doaj   +2 more sources

The Near-Ring of Lipschitz Functions on a Metric Space [PDF]

International Journal of Mathematics and Mathematical Sciences, 2010
This paper treats near-rings of zero-preserving Lipschitz functions on metric spaces that are also abelian groups, using pointwise addition of functions as addition and composition of functions as multiplication.
Mark Farag, Brink van der Merwe
doaj   +2 more sources

NEW INEQUALITIES ON LIPSCHITZ FUNCTIONS [PDF]

Facta Universitatis, Series: Mathematics and Informatics, 2020
In this study, some inequalities of Hermite Hadamard type obtained for p-convex functions are given for Lipschitz mappings. Also, some applications for special means have been given.
İşcan, İmdat, Altunsoy, Cuma, Kadakal, Huriye   +2 more
openaire   +3 more sources

Lipschitz functions on topometric spaces

Journal of Logic and Analysis, 2013
Nous étudions des fonctions sur des espaces topométriques qui sont à la fois (métriquement) Lipschitz et (topologiquement) continus, en les utilisant dans des contextes où, en topologie classique, des fonctions continues ordinaires sont utilisées. Nous étudions les relations de telles fonctions avec des versions topométriques d'axiomes de séparation ...
Ben Yaacov, Itaï
core   +7 more sources

Linearization of Lipschitz-polynomial and Lipschitz-analytic mappings

Karpatsʹkì Matematičnì Publìkacìï, 2013
We introduce and study Lipschitz-analytic and Lipcshitz-polynomial functions, analogues of tensor and symmetric tensor products of metric spaces.
M. V. Dubei, A. V. Zagorodnyuk
doaj   +1 more source

Nonvanishing Preservers and Compact Weighted Composition Operators between Spaces of Lipschitz Functions

Abstract and Applied Analysis, 2013
We will give the -Lipschitz version of the Banach-Stone type theorems for lattice-valued -Lipschitz functions on some metric spaces. In particular, when and are bounded metric spaces, if is a nonvanishing preserver, then is a weighted composition ...
Dongyang Chen, Lei Li, Risheng Wang, Ya-Shu Wang   +3 more
doaj   +1 more source

Lipschitz Stability for Non-Instantaneous Impulsive Caputo Fractional Differential Equations with State Dependent Delays

Axioms, 2018
In this paper, we study Lipschitz stability of Caputo fractional differential equations with non-instantaneous impulses and state dependent delays. The study is based on Lyapunov functions and the Razumikhin technique. Our equations in particular include
Ravi Agarwal, Snezhana Hristova, Donal O'Regan   +2 more
doaj   +1 more source

Real-valued Lipschitz functions and metric properties of functions

, 2020
The purpose of this article is to explore the very general phenomenon that a function between metric spaces has a particular metric property if and only if whenever it is followed in a composition by an arbitrary realvalued Lipschitz function, the ...
Beer, Gerald, Garrido Carballo, María Isabel   +1 more
core   +1 more source

On the derivability of Lipschitz functions [PDF]

, 2001
We show that given any Borel measure on ℝ, every Lipschitz function is μ-a. e. differentiable with respect to μ.
Aldaz, J.M. [0000-0001-8472-2606]
core   +1 more source

Algorithmic Aspects of Lipschitz Functions [PDF]

Computability, 2014
We characterize the variation functions of computable Lipschitz functions. We show that a real
Cameron E. Freer, Bjørn Kjos-Hanssen, André Nies, Frank Stephan 0001   +3 more
openaire   +2 more sources