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pro vyhledávání: '"Nguyen, Huu Tron"'
This paper sheds new light on regularity of multifunctions through various characterizations of directional H\"older /Lipschitz metric regularity, which are based on the concepts of slope and coderivative. By using these characterizations, we show th
Externí odkaz:
http://arxiv.org/abs/1508.01930
In this work, we use the theory of error bounds to study metric regularity of the sum of two multifunctions, as well as some important properties of variational systems. We use an approach based on the metric regularity of epigraphical multifunctions
Externí odkaz:
http://arxiv.org/abs/1304.7892
The paper concerns a new method to obtain a direct proof of the openness at linear rate/metric regularity of composite set-valued maps on metric spaces by the unification and refinement of several methods developed somehow separately in several works
Externí odkaz:
http://arxiv.org/abs/1210.4107
Autor:
Nguyen Huu Tron
Publikováno v:
Set-Valued and Variational Analysis. 31
Publikováno v:
In Journal of Mathematical Analysis and Applications 1 April 2014 412(1):41-62
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Akademický článek
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Dedicated to Professor Franco Giannessi on the occasion of his 85th birthday "Every mathematician can do a true theorem. Only a genius can make an important mistake"Our aim in this article is to study the class of so-called $\rho-$paraconvex multifun
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::d964a93fc7899a15fa0b8b38d98aedf3
https://hal.archives-ouvertes.fr/hal-03290866
https://hal.archives-ouvertes.fr/hal-03290866
Publikováno v:
Set-Valued and Variational Analysis. 28:61-87
This paper investigates a new general pseudo subregularity model which unifies some important nonlinear (sub)regularity models studied recently in the literature. Some slope and abstract coderivative characterizations are established.
Publikováno v:
Vietnam Journal of Mathematics. 47:733-756
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 re