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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 +2 more
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Lipschitz Continuity of the Solution Mapping of Symmetric Cone Complementarity Problems [PDF]
Abstract and Applied Analysis, 2012 This paper investigates the Lipschitz continuity of the solution mapping of symmetric cone (linear or nonlinear) complementarity problems (SCLCP or SCCP, resp.) over Euclidean Jordan algebras. We show that if the transformation has uniform Cartesian P-
Xin-He Miao, Jein-Shan Chen
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Hyperbolically Bi-Lipschitz Continuity for -Harmonic Quasiconformal Mappings [PDF]
International Journal of Mathematics and Mathematical Sciences, 2012 We study the class of -harmonic -quasiconformal mappings with angular ranges. After building a differential equation for the hyperbolic metric of an angular range, we obtain the sharp bounds of their hyperbolically partial derivatives, determined by the ...
Xingdi Chen
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Continuity and Lipschitz constants for projections [PDF]
The Journal of Logic and Algebraic Programming, 2010 Constructive proofs of some results from best approximation theory and properties of metric projections are given. For example, let \(Y\) be a locally compact subset of a complete metric space \(X\) such that each \(x \in X\) has a unique best approximation in \(Y\). Then the projection of \(X\) onto \(Y\) is sequentially continuous.
Bridges, Douglas S.
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Lipschitz Continuity Retained Binary Neural Network [PDF]
, 2022 Relying on the premise that the performance of a binary neural network can be largely restored with eliminated quantization error between full-precision weight vectors and their corresponding binary vectors, existing works of network binarization ...
Shang, Yuzhang +5 more
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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 +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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Journal of Inequalities and Applications, 2022 In this article, we consider a bivariate Chlodowsky type Szász–Durrmeyer operators on weighted spaces. We obtain the rate of approximation in connection with the partial and complete modulus of continuity and also for the elements of the Lipschitz type ...
Reşat Aslan, M. Mursaleen
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