Please use this identifier to cite or link to this item:
http://hdl.handle.net/10397/107315
Title: | Relative Lipschitz-like property of parametric systems via projectional coderivatives | Authors: | Yao, W Yang, X |
Issue Date: | 2023 | Source: | SIAM journal on optimization, 2023, v. 33, no. 3, p. 2021-2040 | Abstract: | This paper concerns upper estimates of the projectional coderivative of implicit mappings and corresponding applications on analyzing the relative Lipschitz-like property. Under different constraint qualifications, we provide upper estimates of the projectional coderivative for solution mappings of parametric systems. For the solution mapping of affine variational inequalities, a generalized critical face condition is obtained for sufficiency of its Lipschitz-like property relative to a polyhedral set within its domain under a constraint qualification. The necessity is also obtainable under some regularity or when the polyhedral set is further the domain of the solution mapping. We further discuss possible conditions for the necessity and consider the solution mapping of a linear complementarity problem with a 𝑄0 matrix as an example. | Keywords: | Affine variational inequality Generalized Mordukhovich criterion Linear complementarity problem Parametric systems Relative Lipschitz-like property |
Publisher: | Society for Industrial and Applied Mathematics | Journal: | SIAM journal on optimization | ISSN: | 1052-6234 | EISSN: | 1095-7189 | DOI: | 10.1137/22M151296X | Rights: | Copyright © by SIAM. Unauthorized reproduction of this article is prohibited. The following publication Yao, W., & Yang, X. (2023). Relative Lipschitz-like Property of Parametric Systems via Projectional Coderivatives. SIAM Journal on Optimization, 33(3), 2021-2040 is available at https://doi.org/10.1137/22M151296X. |
Appears in Collections: | Journal/Magazine Article |
Files in This Item:
File | Description | Size | Format | |
---|---|---|---|---|
22m151296x.pdf | 430.81 kB | Adobe PDF | View/Open |
Page views
7
Citations as of Jun 30, 2024
Downloads
3
Citations as of Jun 30, 2024
SCOPUSTM
Citations
1
Citations as of Jun 21, 2024
Google ScholarTM
Check
Altmetric
Items in DSpace are protected by copyright, with all rights reserved, unless otherwise indicated.