Please use this identifier to cite or link to this item:
http://hdl.handle.net/10397/107315
DC Field | Value | Language |
---|---|---|
dc.contributor | Department of Applied Mathematics | en_US |
dc.creator | Yao, W | en_US |
dc.creator | Yang, X | en_US |
dc.date.accessioned | 2024-06-14T06:36:49Z | - |
dc.date.available | 2024-06-14T06:36:49Z | - |
dc.identifier.issn | 1052-6234 | en_US |
dc.identifier.uri | http://hdl.handle.net/10397/107315 | - |
dc.language.iso | en | en_US |
dc.publisher | Society for Industrial and Applied Mathematics | en_US |
dc.rights | Copyright © by SIAM. Unauthorized reproduction of this article is prohibited. | en_US |
dc.rights | 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. | en_US |
dc.subject | Affine variational inequality | en_US |
dc.subject | Generalized Mordukhovich criterion | en_US |
dc.subject | Linear complementarity problem | en_US |
dc.subject | Parametric systems | en_US |
dc.subject | Relative Lipschitz-like property | en_US |
dc.title | Relative Lipschitz-like property of parametric systems via projectional coderivatives | en_US |
dc.type | Journal/Magazine Article | en_US |
dc.identifier.spage | 2021 | en_US |
dc.identifier.epage | 2040 | en_US |
dc.identifier.volume | 33 | en_US |
dc.identifier.issue | 3 | en_US |
dc.identifier.doi | 10.1137/22M151296X | en_US |
dcterms.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. | en_US |
dcterms.accessRights | open access | en_US |
dcterms.bibliographicCitation | SIAM journal on optimization, 2023, v. 33, no. 3, p. 2021-2040 | en_US |
dcterms.isPartOf | SIAM journal on optimization | en_US |
dcterms.issued | 2023 | - |
dc.identifier.scopus | 2-s2.0-85168995403 | - |
dc.identifier.eissn | 1095-7189 | en_US |
dc.description.validate | 202406 bcch | en_US |
dc.description.oa | Version of Record | en_US |
dc.identifier.FolderNumber | a2814a | - |
dc.identifier.SubFormID | 48452 | - |
dc.description.fundingSource | RGC | en_US |
dc.description.pubStatus | Published | en_US |
dc.description.oaCategory | VoR allowed | en_US |
Appears in Collections: | Journal/Magazine Article |
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File | Description | Size | Format | |
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22m151296x.pdf | 430.81 kB | Adobe PDF | View/Open |
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