Results 11 to 20 of about 1,716 (212)
The oscillation of separately locally Lipschitz functions
Karpatsʹkì Matematičnì Publìkacìï, 2011 We prove that a function which dened on the product of two metric Baire spaces is the oscillation of some separately locally Lipschitz function if and only if it is an upper semicontinuous non-negative function which has a crosswise nowhere dense closure
V. H. Herasymchuk, O. V. Maslyuchenko
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Abstract and Applied Analysis, 2019 We define and study C1-solutions of the Aronsson equation (AE), a second order quasi linear equation. We show that such super/subsolutions make the Hamiltonian monotone on the trajectories of the closed loop Hamiltonian dynamics. We give a short, general
Pierpaolo Soravia
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Limitations of Local Filters of Lipschitz and Monotone Functions [PDF]
ACM Transactions on Computation Theory, 2012 We study local filters for two properties of functions of the form f : {0,1}d → R: the Lipschitz property and monotonicity. A local filter with additive error a is a randomized algorithm that is given black-box access to a function f and a query point x
Pranjal Awasthi +3 more
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On error bound moduli for locally Lipschitz and regular functions [PDF]
Mathematical Programming, 2017 In this paper we study local error bound moduli for a locally Lipschitz and regular function via its outer limiting subdifferential set. We show that the distance of 0 from the outer limiting subdifferential of the support function of the subdifferential set, which is essentially the distance of 0 from the end set of the subdifferential set, is an ...
M. H. Li, K. W. Meng, Xiaoqi Yang 0001
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Some notes on commutators of the fractional maximal function on variable Lebesgue spaces
Journal of Inequalities and Applications, 2019 Let ...
Pu Zhang, Zengyan Si, Jianglong Wu
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A Multiplicity Theorem for Locally Lipschitz Periodic Functionals
Journal of Mathematical Analysis and Applications, 1995 The authors consider the periodic multivalued problem of the forced pendulum \[ \begin{cases} x''(t) + f(t)\in \biggl[\underline g\bigl(x(t) \bigr), \overline g \bigl(x(t) \bigr)\biggr], \quad \text{a.e. } t\in(0,1) \\ x(0) = x(1),\;x'(0) = x'(1) \end{cases} \] where \(f\in L^p(0,1)\), \(g\in L^\infty (\mathbb{R})\) is periodic of period \(T\), the ...
Mironescu, P., Radulescu, V.D.
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Some Inexact Version of the Iterative Exponential Method for Solving Nonsmooth Equations
Algorithms, 2023 This paper presents an inexact version of an exponential iterative method designed for solving nonlinear equations F(x)=0, where the function F is only locally Lipschitz continuous.
Marek J. Śmietański
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2-Local Isometries on Spaces of Lipschitz Functions
Canadian Mathematical Bulletin, 2011 AbstractLet (X, d) be a metric space, and let Lip(X) denote the Banach space of all scalar-valued bounded Lipschitz functions ƒ on X endowed with one of the natural normswhere L(ƒ) is the Lipschitz constant of ƒ. It is said that the isometry group of Lip(X) is canonical if every surjective linear isometry of Lip(X) is induced by a surjective isometry ...
Jiménez Vargas, Antonio +1 more
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Convergence of the Momentum Method for Semialgebraic Functions with Locally Lipschitz Gradients
SIAM Journal on Optimization, 2023 33 pages.
Cédric Josz +2 more
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Local convergence of exact and inexact newton’s methods for subanalytic variational inclusions
Revista de Matemática: Teoría y Aplicaciones, 2015 This paper deals with the study of an iterative method for solving a variational inclusion of the form 0 ∈ f (x)+F (x) where f is a locally Lipschitz subanalytic function and F is a set-valued map from Rn to the closed subsets of Rn.
Catherine Cabuzel +2 more
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