Results 11 to 20 of about 10,697 (290)

Directional metric regularity of multifunctions

Mathematics of Operations Research, 2013
In this paper, we study relative metric regularity of set-valued mappings with emphasis on directional metric regularity. We establish characterizations of relative metric regularity without assuming the completeness of the image spaces, by using the ...
Théra, Michel, van Ngai, Huynh
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Directional regularity and metric regularity

SIAM Journal on Optimization, 2020
For general constraint systems in Banach spaces, we present the directional stability theorem based on the appropriate generalization of the directional regularity condition, suggested earlier in [A. V. Arutyunov and A. F. Izmailov, Math. Oper. Res., 31 (
Arutyunov A.V., Avakov E.R., Izmailov A.F.   +2 more
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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.
Spiro, Andrea, Patrizio, Giorgio, Giorgio Patrizio, A. Spiro, G. Patrizio, Andrea Spiro   +5 more
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On metric complements and metric regularity in finite metric spaces

Prikladnaya Diskretnaya Matematika, 2020
This review deals with the metric complements and metric regularity in the Boolean cube and in arbitrary finite metric spaces. Let A be an arbitrary subset of a finite metric space M, and A be the metric complement of A — the set of all points of M at ...
Oblaukhov, A. K.
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On derivative criteria for metric regularity

, 2013
International audienceWe give a simple self-contained proof of the equality which links directly the graphical derivative and coderivative criteria for metric regularity.
Dontchev, Asen,, Hélène Frankowska, Asen L. Dontchev, Frankowska, Hélène   +3 more
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Metric regularity of Newton's iteration

SIAM Journal on Control and Optimization, 2011
For a version of Newton's method applied to a generalized equation with a parameter, we extend the paradigm of the Lyusternik–Graves theorem to the framework of a mapping acting from the pair “parameter-starting point” to the set of corresponding ...
Artacho, F. J. Aragón, Dontchev, Asen L., Geoffroy, M.H., Gaydu, Michaël, V. M. Veliov, Geoffroy, Michel H., Geoffroy, M. H., F. J. Aragón Artacho, Veliov, V. M., Veliov, Vladimir M., Gaydu, M., A. L. Dontchev, M. H. Geoffroy, M. Gaydu, Dontchev, A. L., Aragón Artacho, Francisco Javier   +15 more
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Extensions of metric regularity

Optimization, 2009
This article is devoted to some extensions of the metric regularity property for mappings between metric or Banach spaces. Several new concepts are investigated in a unified manner: uniform metric regularity, metric regularity along a subspace, metric ...
Kruger, Alexander, Dmitruk, Andrei
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On metric regularity of Reed-Muller codes [PDF]

Designs, Codes and Cryptography, 2020
In this work we study metric properties of the well-known family of binary Reed-Muller codes. Let $A$ be an arbitrary subset of the Boolean cube, and $\widehat{A}$ be the metric complement of $A$ --- the set of all vectors of the Boolean cube at the ...
Alexey Oblaukhov
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Metric regularity relative to a cone

Vietnam Journal of Mathematics, 2019
The purpose of this paper is to discuss some of the highlights of the theory of metric regularity relative to a cone. For example, we establish a slope and some coderivative characterizations of this concept, as well as some stability results with ...
Théra, Michel, Huynh Van Ngai, Nguyen Huu Tron, Michel Théra, Van Ngai, Huynh, Tron, Nguyen   +5 more
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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.
openaire   +2 more sources