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Title: Isolated calmness and sharp minima via Hölder graphical derivatives
Authors: Kruger, AY
López, MA
Yang, X 
Zhu, J
Issue Date: 2022
Source: Set-valued and variational analysis, 2022, v. 30, p,1423-1441
Abstract: The paper utilizes Hölder graphical derivatives for characterizing Hölder strong subregularity, isolated calmness and sharp minimum. As applications, we characterize Hölder isolated calmness in linear semi-infinite optimization and Hölder sharp minimizers of some penalty functions for constrained optimization.
Keywords: Hölder calmness
Hölder graphical derivatives
Hölder sharp minimum
Hölder subregularity
Semi-infinite programming
Publisher: Springer
Journal: Set-valued and variational analysis 
ISSN: 1877-0533
EISSN: 1877-0541
DOI: 10.1007/s11228-022-00628-1
Rights: © The Author(s) 2022.
This article is licensed under a Creative Commons Attribution 4.0 International License, which permits use, sharing, adaptation, distribution and reproduction in any medium or format, as long as you give appropriate credit to the original author(s) and the source, provide a link to the Creative Commons licence, and indicate if changes were made. The images or other third party material in this article are included in the article’s Creative Commons licence, unless indicated otherwise in a credit line to the material. If material is not included in the article’s Creative Commons licence and your intended use is not permitted by statutory regulation or exceeds the permitted use, you will need to obtain permission directly from the copyright holder. To view a copy of this licence, visit http://creativecommons.org/licenses/by/4.0/.
The following publication Kruger, A. Y., López, M. A., Yang, X., & Zhu, J. (2022). Isolated calmness and sharp minima via Hölder graphical derivatives. Set-Valued and Variational Analysis 30, 1423–1441 (2022) is available at https://doi.org/10.1007/s11228-022-00628-1
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