Results 1 to 10 of about 10,697 (290)
Directional Hölder Metric Regularity
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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Metric Regularity of the Sum of Multifunctions and Applications [PDF]
Journal of Optimization Theory and Applications, 2013 The metric regularity of multifunctions plays a crucial role in modern variational analysis and optimization. This property is a key to study the stability of solutions of generalized equations.
Huynh Van Ngai +2 more
exaly +8 more sources
Restrictive metric regularity and generalized differential calculus in Banach spaces [PDF]
International Journal of Mathematics and Mathematical Sciences, 2004 We consider nonlinear mappings f:X→Y between Banach spaces and study the notion of restrictive metric regularity of f around some point x¯, that is, metric regularity of f from X into the metric space E=f(X).
Boris S. Mordukhovich, Bingwu Wang
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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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Local convergence of quasi-Newton methods under metric regularity
Computational Optimization and Applications, 2013 peer reviewedWe consider quasi-Newton methods for generalized equations in Banach spaces under metric regularity and give a sufficient condition for q-linear convergence. Then we show that the well-known Broyden update satisfies this sufficient condition
FRANCISCO J Aragón Artacho +2 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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