Results 11 to 20 of about 1,290,281 (292)
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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Perturbations and Metric Regularity [PDF]
Set-Valued Analysis, 2005 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Dontchev, A. L., Lewis, A. S.
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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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On metric regularity in metric spaces [PDF]
Bulletin of the Australian Mathematical Society, 2003 We prove metric regularity results for both single-valued maps and set-valued maps defined between metric spaces.
Gautier, Serge, Pichard, Karine
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Regularity of Kobayashi Metric [PDF]
, 2018 We review some recent results on existence and regularity of Monge-Ampère exhaustions on the smoothly bounded strongly pseudoconvex domains, which admit at least one such exhaustion of sufficiently high regularity. A main consequence of our results is the fact that the Kobayashi pseudo-metric k on an appropriare open subset of each of the above domains
Giorgio Patrizio, Andrea Spiro
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Regularity of solutions to the fractional Cheeger-Laplacian on domains in metric spaces of bounded geometry [PDF]
Journal of Differential Equations, 2020 We study existence, uniqueness, and regularity properties of the Dirichlet problem related to fractional Dirichlet energy minimizers in a complete doubling metric measure space $(X,d_X,\mu_X)$ satisfying a $2$-Poincare inequality. Given a bounded domain $
S. Eriksson-Bique +4 more
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