Results 11 to 20 of about 1,369 (204)
The oscillation of separately locally Lipschitz functions
Karpatsʹkì Matematičnì Publìkacìï, 2013 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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Existence of fixed points on compact epilipschitz sets without invariance conditions
Fixed Point Theory and Applications, 2005 We provide a new result of existence of equilibria of a single-valued Lipschitz function f on a compact set K of â„Ân which is locally the epigraph of a Lipschitz functions (such a set is called epilipschitz set).
Marc Quincampoix, Mikhail Kamenskii
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On a New Generalization of Bernstein-Type Rational Functions and Its Approximation
Mathematics, 2022 In this study, we introduce a new generalization of a Bernstein-type rational function possessing better estimates than the classical Bernstein-type rational function.
Esma Yıldız Özkan, Gözde Aksoy
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Optimality Conditions and Duality in Nonsmooth Multiobjective Programs
Journal of Inequalities and Applications, 2010 We study nonsmooth multiobjective programming problems involving locally Lipschitz functions and support functions. Two types of Karush-Kuhn-Tucker optimality conditions with support functions are introduced.
Do Sang Kim, Hyo Jung Lee
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A NEW PROOF OF CLARKE'S THEOREM
Tạp chí Khoa học Đại học Đà Lạt, 2012 In this paper, we give a new proof of the theorem of Clarke on Fritz John optimality conditions for nonsmooth optimisation problems involving locally Lipschitz functions.
Gue Myung Lee, Phạm Tiến Sơn
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Multiple Solutions for Nonhomogeneous Neumann Differential Inclusion Problems by the p(x)-Laplacian
The Scientific World Journal, 2013 A class of nonlinear Neumann problems driven by p(x)-Laplacian with a nonsmooth locally Lipschitz potential (hemivariational inequality) was considered. The approach used in this paper is the variational method for locally Lipschitz functions.
Qing-Mei Zhou
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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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Guignard Qualifications and Stationary Conditions for Mathematical Programming with Nonsmooth Switching Constraints [PDF]
Control and Optimization in Applied Mathematics, 2021 In this paper, some constraint qualifications of the Guignard type are defined for optimization problems with continuously differentiable objective functions and locally Lipschitz switching constraints.
Fatemeh Gorgini Shabankareh +3 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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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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