Please use this identifier to cite or link to this item:
http://hdl.handle.net/10397/93288
DC Field | Value | Language |
---|---|---|
dc.contributor | Department of Applied Mathematics | en_US |
dc.creator | Meng, KW | en_US |
dc.creator | Li, MH | en_US |
dc.creator | Yao, WF | en_US |
dc.creator | Yang, XQ | en_US |
dc.date.accessioned | 2022-06-15T03:42:38Z | - |
dc.date.available | 2022-06-15T03:42:38Z | - |
dc.identifier.issn | 0025-5610 | en_US |
dc.identifier.uri | http://hdl.handle.net/10397/93288 | - |
dc.language.iso | en | en_US |
dc.publisher | Springer | en_US |
dc.rights | © Springer-Verlag GmbH Germany, part of Springer Nature and Mathematical Optimization Society 2020 | en_US |
dc.rights | This version of the article has been accepted for publication, after peer review (when applicable) and is subject to Springer Nature’s AM terms of use (https://www.springernature.com/gp/open-research/policies/accepted-manuscript-terms), but is not the Version of Record and does not reflect post-acceptance improvements, or any corrections. The Version of Record is available online at: http://dx.doi.org/10.1007/s10107-020-01568-0 | en_US |
dc.subject | Graphical modulus | en_US |
dc.subject | Level-set mapping | en_US |
dc.subject | Lipschitz-like property relative to a set | en_US |
dc.subject | Mordukhovich criterion | en_US |
dc.subject | Projectional coderivative | en_US |
dc.title | Lipschitz-like property relative to a set and the generalized Mordukhovich criterion | en_US |
dc.type | Journal/Magazine Article | en_US |
dc.identifier.spage | 455 | en_US |
dc.identifier.epage | 489 | en_US |
dc.identifier.volume | 189 | en_US |
dc.identifier.issue | 1-2 | en_US |
dc.identifier.doi | 10.1007/s10107-020-01568-0 | en_US |
dcterms.abstract | In this paper we will establish some necessary condition and sufficient condition respectively for a set-valued mapping to have the Lipschitz-like property relative to a closed set by employing regular normal cone and limiting normal cone of a restricted graph of the set-valued mapping. We will obtain a complete characterization for a set-valued mapping to have the Lipschitz-property relative to a closed and convex set by virtue of the projection of the coderivative onto a tangent cone. Furthermore, by introducing a projectional coderivative of set-valued mappings, we establish a verifiable generalized Mordukhovich criterion for the Lipschitz-like property relative to a closed and convex set. We will study the representation of the graphical modulus of a set-valued mapping relative to a closed and convex set by using the outer norm of the corresponding projectional coderivative value. For an extended real-valued function, we will apply the obtained results to investigate its Lipschitz continuity relative to a closed and convex set and the Lipschitz-like property of a level-set mapping relative to a half line. | en_US |
dcterms.accessRights | open access | en_US |
dcterms.bibliographicCitation | Mathematical programming, Sept. 2021, v. 189, no. 1-2, p. 455-489 | en_US |
dcterms.isPartOf | Mathematical programming | en_US |
dcterms.issued | 2021-09 | - |
dc.identifier.scopus | 2-s2.0-85091426607 | - |
dc.description.validate | 202206 bcfc | en_US |
dc.description.oa | Accepted Manuscript | en_US |
dc.identifier.FolderNumber | AMA-0141 | - |
dc.description.fundingSource | RGC | en_US |
dc.description.pubStatus | Published | en_US |
dc.identifier.OPUS | 54285678 | - |
Appears in Collections: | Journal/Magazine Article |
Files in This Item:
File | Description | Size | Format | |
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Yao_Lipschitz-Like_Property_Relative.pdf | Pre-Published version | 762.83 kB | Adobe PDF | View/Open |
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