Results 1 to 10 of about 128,618 (166)
Directional Hölder Metric Regularity [PDF]
Journal of Optimization Theory and Applications, 2015 This paper sheds new light on regularity of multifunctions through various characterizations of directional Hölder /Lipschitz metric regularity, which are based on the concepts of slope and coderivative.
Huynh, van Ngai +2 more
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Regularity of Kobayashi metric [PDF]
, 2018 We review some recent results on existence and regularity of Monge-Amp\`ere exhaustions on the smoothly bounded strongly pseudoconvex domains, which admit at least one such exhaustion of sufficiently high regularity.
A Newlander +17 more
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Analysis and Geometry in Metric Spaces, 2019 The theory of boundary regularity for p-harmonic functions is extended to unbounded open sets in complete metric spaces with a doubling measure supporting a p-Poincaré inequality, 1 < p < ∞.
Björn Anders, Hansevi Daniel
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Comparison of vacuum static quadrupolar metrics [PDF]
Royal Society Open Science, 2018 We investigate the properties of static and axisymmetric vacuum solutions of Einstein equations which generalize the Schwarzschild spherically symmetric solution to include a quadrupole parameter.
Francisco Frutos-Alfaro +2 more
doaj +3 more sources
A new metric to understand the association between heart rate variability and menstrual regularity [PDF]
npj Digital MedicineCardiovascular disease is underdiagnosed and undertreated in women compared to men. Wearable technologies (wearables) help shed light on women’s cardiovascular by collecting continuous cardiovascular data and correlating it with hormonal fluctuations ...
Kimia Heydari +3 more
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Asymptotic stationarity and regularity for nonsmooth optimization problems [PDF]
Journal of Nonsmooth Analysis and Optimization, 2020 Based on the tools of limiting variational analysis, we derive a sequential necessary optimality condition for nonsmooth mathematical programs which holds without any additional assumptions. In order to ensure that stationary points in this new sense are
Patrick Mehlitz
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Uniform Regularity of Set-Valued Mappings and Stability of Implicit Multifunctions [PDF]
Journal of Nonsmooth Analysis and Optimization, 2021 We propose a unifying general (i.e. not assuming the mapping to have any particular structure) view on the theory of regularity and clarify the relationships between the existing primal and dual quantitative sufficient and necessary conditions including ...
Nguyen Duy Cuong, Alexander Y. Kruger
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A General Iterative Procedure for Solving Nonsmooth Constrained Generalized Equations
Mathematics, 2023 In this paper, we concentrate on an abstract iterative procedure for solving nonsmooth constrained generalized equations. This procedure employs both the property of weak point-based approximation and the approach of searching for a feasible inexact ...
Wei Ouyang, Kui Mei
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Quantitative Stability of Optimization Problems with Stochastic Constraints
Mathematics, 2023 In this paper, we consider optimization problems with stochastic constraints. We derive quantitative stability results for the optimal value function, the optimal solution set and the feasible solution set of optimization models in which the underlying ...
Wei Ouyang, Kui Mei
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JMIR Formative Research, 2022 BackgroundIrregularities in circadian rhythms have been associated with adverse health outcomes. The regularity of rhythms can be quantified using passively collected smartphone data to provide clinically relevant biomarkers of ...
Benny Ren +4 more
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