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Lipschitz Continuity of Convex Functions [PDF]

Applied Mathematics & Optimization, 2020
17 ...
Bao Tran Nguyen, Pham Duy Khanh
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Lipschitz Continuity and Approximate Equilibria [PDF]

Algorithmica, 2016
AbstractIn this paper, we study games with continuous action spaces and non-linear payoff functions. Our key insight is that Lipschitz continuity of the payoff function allows us to provide algorithms for finding approximate equilibria in these games. We begin by studying Lipschitz games, which encompass, for example, all concave games with Lipschitz ...
Argyrios Deligkas, John Fearnley, Paul Spirakis   +2 more
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Lipschitz continuity of oblique projections [PDF]

Proceedings of the American Mathematical Society, 1999
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Hȧrald K. Wimmer
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Lipschitz Continuity of the Minimizers [PDF]

, 2022
AbstractIn this section, we will prove that the local minimizers of $$\mathcal F_\Lambda $$ ℱ Λ are Lipschitz continuous. Our main result is the following.
Bozhidar Velichkov
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Lipschitz continuity of minimizers in a problem with nonstandard growth

Mathematics in Engineering, 2021
In this paper we obtain the Lipschitz continuity of nonnegative local minimizers of the functional $J(v)=\int_\Omega\big( F(x, v, \nabla v)+\lambda(x)\chi_{\{v>0\}}\big)\,dx$, under nonstandard growth conditions of the energy function $F(x,s,\eta)$
Claudia Lederman, Noemi Wolanski
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Lipschitz Continuity of Polyhedral Skorokhod Maps

Zeitschrift für Analysis und ihre Anwendungen, 2001
We show that a special stability condition of the associated system of oblique projections (the so-called \ell -paracontractivity) guarantees that the corresponding polyhedral Skorokhod problem in a Hilbert space X is solvable in the ...
Pavel Krejčı́, Alexander Vladimirov
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An accelerated forward-backward algorithm with a new linesearch for convex minimization problems and its applications

AIMS Mathematics, 2021
We study and investigate a convex minimization problem of the sum of two convex functions in the setting of a Hilbert space. By assuming the Lipschitz continuity of the gradient of the function, many optimization methods have been invented, where the ...
Adisak Hanjing, Pachara Jailoka, Suthep Suantai   +2 more
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Local robust stability on compact set for nonlinear systems with continuous time controller against to aperiodic sampling and disturbance

IET Control Theory & Applications, 2023
In this study, the stability of a sampled‐value control system with time‐ and state‐dependent disturbance and aperiodic sampling is investigated. To expand the application class of the sampled‐value controller, the local stability on a compact set is ...
Kazuki Umemoto, Takahiro Endo, Fumitoshi Matsuno   +2 more
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A Class of Quasilinear Equations with Distributed Gerasimov–Caputo Derivatives

Mathematics, 2023
Quasilinear equations in Banach spaces with distributed Gerasimov–Caputo fractional derivatives, which are defined by the Riemann–Stieltjes integrals, and with a linear closed operator A, are studied.
Vladimir E. Fedorov, Nikolay V. Filin
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On Harmonic Quasiconformal Quasi-Isometries

Journal of Inequalities and Applications, 2010
The purpose of this paper is to explore conditions which guarantee Lipschitz-continuity of harmonic maps with respect to quasihyperbolic metrics. For instance, we prove that harmonic quasiconformal maps are Lipschitz with respect to quasihyperbolic ...
M. Mateljević, M. Vuorinen
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