Results 11 to 20 of about 129,728 (246)

Linearization of Lipschitz-polynomial and Lipschitz-analytic mappings

open access: yesKarpatsʹkì 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

open access: yesAbstract 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   +3 more
doaj   +1 more source

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

open access: yesAxioms, 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   +2 more
doaj   +1 more source

Transversally Lipschitz harmonic functions are Lipschitz [PDF]

open access: yesComplex Variables and Elliptic Equations, 2013
Let \subset\mathbb{R}^n be a bounded domain with C^\infty boundary. We show that a harmonic function in that is Lipschitz along a family of curves transversal to b is Lipschitz in . The space of Lipschitz functions we consider is defined using the notion of a majorant which is a certain generalization of the power functions t ...
openaire   +2 more sources

The Near-Ring of Lipschitz Functions on a Metric Space

open access: yesInternational 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   +1 more source

Notes on pseudodifferential operators commutators and Lipschitz functions

open access: yesOpen Mathematics, 2023
This article focuses on the boundedness of the commutators generated by pseudodifferential operators with Lipschitz functions and obtains a sufficient condition such that these operators are bounded from Lp(Rn){L}^{p}\left({{\bf{R}}}^{n}) into the ...
Deng Yu-long
doaj   +1 more source

On Nonsmooth Global Implicit Function Theorems for Locally Lipschitz Functions from Banach Spaces to Euclidean Spaces

open access: yesAbstract and Applied Analysis, 2022
In this paper, we establish a generalization of the Galewski-Rădulescu nonsmooth global implicit function theorem to locally Lipschitz functions defined from infinite dimensional Banach spaces into Euclidean spaces.
Guy Degla   +2 more
doaj   +1 more source

A general theorem of existence of quasi absolutely minimal Lipschitz extensions [PDF]

open access: yes, 2014
In this paper we consider a wide class of generalized Lipschitz extension problems and the corresponding problem of finding absolutely minimal Lipschitz extensions.
Gruyer, Erwan Le, Hirn, Matthew J.
core   +3 more sources

Complementary Lipschitz continuity results for the distribution of intersections or unions of independent random sets in finite discrete spaces [PDF]

open access: yes, 2019
We prove that intersections and unions of independent random sets in finite spaces achieve a form of Lipschitz continuity. More precisely, given the distribution of a random set $\Xi$, the function mapping any random set distribution to the distribution ...
Klein, John
core   +4 more sources

NEW INEQUALITIES ON LIPSCHITZ FUNCTIONS [PDF]

open access: yesFacta 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   +2 more
openaire   +2 more sources

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