Results 41 to 50 of about 2,732 (239)
Notes on Lipschitz Properties of Nonlinear Scalarization Functions with Applications
Abstract and Applied Analysis, 2014 Various kinds of nonlinear scalarization functions play important roles in vector optimization. Among them, the one commonly known as the Gerstewitz function is good at scalarizing.
Fang Lu, Chun-Rong Chen
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About the Subgradient Method for Equilibrium Problems
MathematicsConvergence results of the subgradient algorithm for equilibrium problems were mainly obtained using a Lipschitz continuity assumption on the given bifunctions. In this paper, we first provide a complexity result for monotone equilibrium problems without
Abdellatif Moudafi
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Courcelle's Theorem for Lipschitz Continuity
CoRRLipschitz continuity of algorithms, introduced by Kumabe and Yoshida (FOCS'23), measures the stability of an algorithm against small input perturbations. Algorithms with small Lipschitz continuity are desirable, as they ensure reliable decision-making and reproducible scientific research.
Gima, Tatsuya +2 more
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The Burkill-Cesari Integral on Spaces of Absolutely Continuous Games
International Journal of Mathematics and Mathematical Sciences, 2014 We prove that the Burkill-Cesari integral is a value on a subspace of AC and then discuss its continuity with respect to both the BV and the Lipschitz norm.
F. Centrone, A. Martellotti
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NON-ARCHIMEDEAN YOMDIN–GROMOV PARAMETRIZATIONS AND POINTS OF BOUNDED HEIGHT
Forum of Mathematics, Pi, 2015 We prove an analog of the Yomdin–Gromov lemma for $p$-adic definable sets and more broadly in a non-Archimedean definable context. This analog keeps track of piecewise approximation by Taylor polynomials, a nontrivial aspect in the totally disconnected ...
RAF CLUCKERS +2 more
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Open Mathematics, 2023 In this article, we study a class of pseudomonotone split variational inequality problems (VIPs) with non-Lipschitz operator. We propose a new inertial extragradient method with self-adaptive step sizes for finding the solution to the aforementioned ...
Owolabi Abd-Semii Oluwatosin-Enitan +2 more
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Stancu-Type Generalized q-Bernstein–Kantorovich Operators Involving Bézier Bases
Mathematics, 2022 We construct the Stancu-type generalization of q-Bernstein operators involving the idea of Bézier bases depending on the shape parameter −1≤ζ≤1 and obtain auxiliary lemmas.
Wen-Tao Cheng +2 more
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Lipschitz and H\"older Continuity in Reproducing Kernel Hilbert Spaces [PDF]
, 2023 Reproducing kernel Hilbert spaces (RKHSs) are very important function spaces, playing an important role in machine learning, statistics, numerical analysis and pure mathematics. Since Lipschitz and H\"older continuity are important regularity properties,
Fiedler, Christian
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Some properties of the operators defined by Lupaș
Journal of Numerical Analysis and Approximation Theory, 2014 In the present paper, we show that a subclass of the operators defined by Lupaș [12] preserve properties of the modulus of continuity function and Lipschitz constant and the order of a Lipschitz continuous function.
Ayşegül Erençin +2 more
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Advanced Functional Materials, EarlyView.Field‐free spin‐orbit torque domain‐wall synapses integrated with stochastic MTJ neurons enable compact hardware Boltzmann machines. Leveraging intrinsic stochasticity and multi‐level conductance, the system achieves efficient probabilistic learning with high accuracy, demonstrating a scalable spintronic platform for energy‐efficient edge AI.
Aijaz H. Lone +8 more
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