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Please use this identifier to cite or link to this item: https://digital.lib.ueh.edu.vn/handle/UEH/68688
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dc.contributor.authorTuan Nguyen Dinh-
dc.date.accessioned2023-05-30T02:27:16Z-
dc.date.available2023-05-30T02:27:16Z-
dc.date.issued2023-
dc.identifier.issn0022-247X (Print), 1096-0813 (Online)-
dc.identifier.urihttps://digital.lib.ueh.edu.vn/handle/UEH/68688-
dc.description.abstractWe analyze risk-neutral multiobjective optimal control problems, governed by Volterra integral equations with random inputs, and subject to expectation-type final/pure state constraints and mixed pointwise control-state constraints. Moreover, controls are unbounded, and inclusion-form pure state as well as control-state constraints are given by measurable set-valued mappings, whose images are nonempty closed subsets of infinite dimensional spaces. With such constraints, the multiplier corresponding to pure state constraints belongs to the dual space of the Banach space-valued continuous functions. We set up a decomposition result for this dual, and develop a Lagrange multiplier theorem for an abstract multi-criteria optimization model, in which a Robinson-type constraint qualification is applied. Then, making use of the obtained outcomes, exploiting higher integrability and regularity of the random field control/state variables, and employing Banach space-valued integration techniques, we derive Fritz-John necessary optimality conditions, with integrable functions and (countably additive) measures singular with respect to the Lebesgue measure as multipliers, for local weak Pareto solutions of studied problems.en
dc.formatPortable Document Format (PDF)-
dc.languageeng-
dc.publisherElsevier-
dc.relation.ispartofJournal Of Mathematical Analysis And Applications-
dc.relation.ispartofseriesVol. 53, Issue 2-
dc.rightsElseviervi
dc.subjectRisk-neutral multiobjective optimal control-
dc.subjectNecessary optimality condition-
dc.subjectVolterra integral equation with random data-
dc.subjectMixed pointwise control-state constraint-
dc.subjectExpectation-type state constraint-
dc.subjectSingular measure-
dc.titleRisk-neutral multiobjective optimal control of random Volterra integral equations-
dc.typeJournal Article-
dc.identifier.doihttps://doi.org/10.1016/j.jmaa.2023.127024-
ueh.JournalRankingISI, Scopus-
item.openairetypeJournal Article-
item.openairecristypehttp://purl.org/coar/resource_type/c_18cf-
item.cerifentitytypePublications-
item.fulltextOnly abstracts-
item.grantfulltextnone-
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