Thao, Nguyen H.

[["dc.bibliographiccitation.firstpage","701"],["dc.bibliographiccitation.issue","4"],["dc.bibliographiccitation.journal","Set-Valued and Variational Analysis"],["dc.bibliographiccitation.lastpage","729"],["dc.bibliographiccitation.volume","25"],["dc.contributor.author","Kruger, Alexander Y."],["dc.contributor.author","Luke, D. Russell"],["dc.contributor.author","Thao, Nguyen H."],["dc.date.accessioned","2020-12-10T14:11:55Z"],["dc.date.available","2020-12-10T14:11:55Z"],["dc.date.issued","2017"],["dc.identifier.doi","10.1007/s11228-017-0436-5"],["dc.identifier.eissn","1877-0541"],["dc.identifier.issn","1877-0533"],["dc.identifier.uri","https://resolver.sub.uni-goettingen.de/purl?gro-2/71250"],["dc.language.iso","en"],["dc.notes.intern","DOI Import GROB-354"],["dc.notes.intern","DOI-Import GROB-394"],["dc.relation","RTG 2088: Research Training Group 2088 Discovering structure in complex data: Statistics meets Optimization and Inverse Problems"],["dc.title","About Subtransversality of Collections of Sets"],["dc.type","journal_article"],["dc.type.internalPublication","yes"],["dspace.entity.type","Publication"]]

[["dc.bibliographiccitation.firstpage","2561"],["dc.bibliographiccitation.issue","4"],["dc.bibliographiccitation.journal","SIAM Journal on Optimization"],["dc.bibliographiccitation.lastpage","2588"],["dc.bibliographiccitation.volume","25"],["dc.contributor.author","Khanh, Phan Q."],["dc.contributor.author","Kruger, Alexander Y."],["dc.contributor.author","Thao, Nguyen H."],["dc.date.accessioned","2018-11-07T10:02:37Z"],["dc.date.available","2018-11-07T10:02:37Z"],["dc.date.issued","2015"],["dc.description.abstract","A general nonlinear regularity model for a set-valued mapping F : X x R+ paired right arrows Y, where X and Y are metric spaces, is studied using special iteration procedures, going back to Banach, Schauder, Lyusternik, and Graves. Namely, we revise the induction theorem from Khanh [J. Math. Anal. Appl., 118 (1986), pp. 519-534] and employ it to obtain basic estimates for exploring regularity/openness properties. We also show that it can serve as a substitution for the Ekeland variational principle when establishing other regularity criteria. Then, we apply the induction theorem and the mentioned estimates to establish criteria for both global and local versions of regularity/openness properties for our model and demonstrate how the definitions and criteria translate into the conventional setting of a set-valued mapping F : X paired right arrows Y. An application to second-order necessary optimality conditions for a nonsmooth set-valued optimization problem with mixed constraints is provided."],["dc.identifier.doi","10.1137/140991157"],["dc.identifier.isi","000367019700024"],["dc.identifier.uri","https://resolver.sub.uni-goettingen.de/purl?gro-2/38265"],["dc.notes.intern","DOI-Import GROB-394"],["dc.notes.status","zu prüfen"],["dc.notes.submitter","Najko"],["dc.publisher","Siam Publications"],["dc.relation","RTG 2088: Research Training Group 2088 Discovering structure in complex data: Statistics meets Optimization and Inverse Problems"],["dc.relation.issn","1095-7189"],["dc.relation.issn","1052-6234"],["dc.title","An Induction Theorem and Nonlinear Regularity Models"],["dc.type","journal_article"],["dc.type.internalPublication","yes"],["dc.type.peerReviewed","yes"],["dc.type.status","published"],["dspace.entity.type","Publication"]]

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[["dc.bibliographiccitation.journal","Mathematical Programming"],["dc.contributor.author","Kruger, Alexander Y."],["dc.contributor.author","Luke, Russell"],["dc.contributor.author","Thao, Nguyen H."],["dc.date.accessioned","2017-09-07T11:50:03Z"],["dc.date.available","2017-09-07T11:50:03Z"],["dc.date.issued","2016"],["dc.identifier.doi","10.1007/s10107-016-1039-x"],["dc.identifier.gro","3147580"],["dc.identifier.uri","https://resolver.sub.uni-goettingen.de/purl?gro-2/5067"],["dc.notes.intern","DOI-Import GROB-394"],["dc.notes.status","public"],["dc.notes.submitter","chake"],["dc.publisher","Springer Nature"],["dc.relation","RTG 2088: Research Training Group 2088 Discovering structure in complex data: Statistics meets Optimization and Inverse Problems"],["dc.relation.issn","0025-5610"],["dc.title","Set regularities and feasibility problems"],["dc.type","journal_article"],["dc.type.internalPublication","unknown"],["dc.type.peerReviewed","no"],["dspace.entity.type","Publication"]]

[["dc.bibliographiccitation.firstpage","823"],["dc.bibliographiccitation.issue","3"],["dc.bibliographiccitation.journal","Journal of Convex Analysis"],["dc.bibliographiccitation.lastpage","847"],["dc.bibliographiccitation.volume","23"],["dc.contributor.author","Kruger, Alexander Y."],["dc.contributor.author","Thao, Nguyen H."],["dc.date.accessioned","2021-03-11T08:10:10Z"],["dc.date.available","2021-03-11T08:10:10Z"],["dc.date.issued","2016"],["dc.identifier.uri","https://resolver.sub.uni-goettingen.de/purl?gro-2/80516"],["dc.notes.intern","DOI-Import GROB-394"],["dc.relation","RTG 2088: Research Training Group 2088 Discovering structure in complex data: Statistics meets Optimization and Inverse Problems"],["dc.title","Regularity of Collections of Sets and Convergence of Inexact Alternating Projections"],["dc.type","journal_article"],["dc.type.internalPublication","yes"],["dc.type.subtype","original_ja"],["dspace.entity.type","Publication"]]