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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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Refinements to Relation-Theoretic Contraction Principle
Axioms, 2022 After the appearance of relation-theoretic contraction principle proved in a metric space equipped with an amorphous binary relation (often termed as relational metric space), various core fixed point results have been proved in the setting of different ...
Aftab Alam, Reny George, Mohammad Imdad
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Regularity of a General Class of “Quantum Deformed” Black Holes
Universe, 2021 We discuss the “quantum deformed Schwarzschild spacetime”, as originally introduced by Kazakov and Solodukhin in 1993, and investigate the precise sense in which it does and does not satisfy the desiderata for being a “regular black hole”.
Thomas Berry, Alex Simpson, Matt Visser
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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
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Effects of temporally regular versus irregular distractors on goal-directed cognition and behavior
Scientific Reports, 2022 Human environments comprise plenty of task-irrelevant sensory inputs, which are potentially distracting. Auditory distractors often possess an inherent temporal structure.
Troby Ka-Yan Lui, Malte Wöstmann
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Higher-order regularity in local and nonlocal quantum gravity
European Physical Journal C: Particles and Fields, 2021 In the present work we investigate the Newtonian limit of higher-derivative gravity theories with more than four derivatives in the action, including the non-analytic logarithmic terms resulting from one-loop quantum corrections.
Nicolò Burzillà +3 more
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