Results 181 to 190 of about 67,051 (221)

Lipschitz classes on local fields

Science in China Series A: Mathematics, 2007
The Lipschitz class Lipα on a local field K is defined in this note, and the equivalent relationship between the Lipschitz class Lipα and the Holder type space C α (K) is proved. Then, those important characteristics on the Euclidean space R n and the local field K are compared, so that one may interpret the essential ...
Wei-yi Su, Guo-xiang Chen
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Locally lipschitz cooperative games

Journal of Mathematical Economics, 1981
A locally Lipschitz cooperative generalized game is described by its coalition worth function v defined on the set [0, 1]n of generalized (or fuzzy) coalitions of n players. We assume that v is positively homogeneous and locally Lipschitz. We propose the Clarke's generalized gradient ∂v(cN) of v at the coalition cN=(1,…,1) of all players as a set of ...
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Local Lipschitz-constant Functions and Maximal Subdifferentials

Set-Valued Analysis, 2003
Let \(X\) be a Banach space. For the study of generalized subdifferentials, the authors introduce the notion of topologically robust upper semicontinuity for real-valued functions. So the function \(k(x)\) is called to be topologically robust usc if it is upper semicontinuous and quasi lower semicontinuous.
Borwein, J. M., Vanderwerff, J., Wang, Xianfu   +2 more
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Local Minimality of a Lipschitz Extremal

Canadian Journal of Mathematics, 1992
AbstractIn this paper the question of weak and strong local optimality of a Lipschitz (as opposed to C1 ) extremal is addressed. We show that the classical Jacobi sufficient conditions can be extended to the case of Lipschitz candidates. The key idea for this achievement lies in proving that the “generalized” strengthened Weierstrass condition is ...
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Local Lipschitz constants and Kolushov polynomials

Acta Mathematica Hungarica, 1991
Let \(C[a,b]\) be the space of continuous real-valued functions on \([a,b]\) with uniform norm \(\|\;\|\). For \(f\) in \(C[a,b]\), let \(B_ n(f)\) denote the best uniform approximate from the set of algebraic polynomials of degree \(n\) or less to \(f\). \(E_ n(f)\) is the number of the extremal points of \(f-B_ n(f)\).
Bartelt, M. W., Swetits, J. J.
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Locally Lipschitz selections in Banach lattices

Nonlinear Analysis: Theory, Methods & Applications, 2009
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Michta, Mariusz, Motyl, Jerzy
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Semigroups of locally Lipschitz operators.

2016
The infinitesimal generators of semigroups of locally Lipschitz operators are characterized. An application of the obtained result is given to the Cauchy problem for the Kirchhoff equation with real analytic initial data.
Kobayashi, Yoshikazu, Tanaka, Naoki
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Iterative process for lipschitz local strictly pseudocontractive mappings

Applied Mathematics and Mechanics, 1994
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Deng, Lei, Ding, Xieping
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The Rank Theorem for Locally Lipschitz Continuous Functions

Canadian Mathematical Bulletin, 1988
AbstractThe Rank Theorem is proved for locally Lipschitz continuous functions f:Rn → Rp with generalized derivative of constant rank.
Butler, G. J., Timourian, J. G., Viger, C.   +2 more
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New constructions for local approximation of Lipschitz functions. I

Nonlinear Analysis: Theory, Methods & Applications, 2003
In a former paper, the author presented a new generalized differentiability notion for Lipschitz functions \(f: \mathbb{R}^n\to\mathbb{R}\) according to \[ \begin{multlined} Df(x_0)= \text{conv}\Biggl\{v\in\mathbb{R}^n\mid\exists g\in \mathbb{R}^n,\| g\|= 1,\exists r(x_0,\cdot,g)\in \eta(x_0),\;\exists\alpha_k\to +0:\\ v= \lim_{k\to\infty}\,{1\over ...
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