Zobrazeno 1 - 10
of 117
pro vyhledávání: '"Thera, Michel"'
This paper focuses on the stability of both local and global error bounds for a proper lower semicontinuous convex function defined on a Banach space. Without relying on any dual space information, we first provide precise estimates of error bound mo
Externí odkaz:
http://arxiv.org/abs/2410.03687
Autor:
Le, Ba Khiet, Théra, Michel
The paper provides a thorough comparison between R-continuity and other fundamental tools in optimization such as metric regularity, metric subregularity and calmness. We show that R-continuity has some advantages in the convergence rate analysis of
Externí odkaz:
http://arxiv.org/abs/2408.09139
Error bounds are central objects in optimization theory and its applications. They were for a long time restricted only to the theory before becoming over the course of time a field of itself. This paper is devoted to the study of error bounds of a g
Externí odkaz:
http://arxiv.org/abs/2311.09884
Publikováno v:
Set-valued and Variational Analysis 2024
In this paper, we mainly study subtransversality and two types of strong CHIP (given via Fr\'echet and limiting normal cones) for a collection of finitely many closed sets. We first prove characterizations of Asplund spaces in terms of subtransversal
Externí odkaz:
http://arxiv.org/abs/2309.03408
This article is devoted to the stability of error bounds (local and global) for semi-infinite convex constraint systems in Banach spaces. We provide primal characterizations of the stability of local and global error bounds when systems are subject t
Externí odkaz:
http://arxiv.org/abs/2302.02279
In this paper, we introduce an inertial proximal method for solving a bilevel problem involving two monotone equilibrium bifunctions in Hilbert spaces. Under suitable conditions and without any restrictive assumption on the trajectories, the weak and
Externí odkaz:
http://arxiv.org/abs/2210.10714
In this paper, we are interested in studying the asymptotic behavior of the solutions of differential inclusions governed by maximally monotone operators. In the case where the LaSalle's invariance principle is inconclusive, we provide a refined vers
Externí odkaz:
http://arxiv.org/abs/2210.08950
This paper is devoted to primal conditions of error bounds for a general function. In terms of Bouligand tangent cones, lower Hadamard directional derivatives and the Hausdorff-Pompeiu excess of subsets, we provide several necessary and/or sufficient
Externí odkaz:
http://arxiv.org/abs/2210.00307
In this paper, we mainly study error bounds for a single convex inequality and semi-infinite convex constraint systems, and give characterizations of stability of error bounds via directional derivatives. For a single convex inequality, it is proved
Externí odkaz:
http://arxiv.org/abs/2110.11818
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