Duality arguments for well-posedness of history-dependent variational inequalities

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dc.contributor.authorHu, Rong
dc.contributor.authorSofonea, Mircea
dc.date.accessioned2023-03-29T18:20:17Z
dc.date.available2023-03-29T18:20:17Z
dc.date.issued2022-01-06
dc.description.abstractIn this article we introduce a concept of dual problems in metric spaces. Then we state and prove an equivalence result concerning their well-posedness with respect to appropriate Tykhonov triples. We exemplify this result in the study of a history-dependent variational inequality with time-dependent constraints, for which the dual problem is in a form of a history-dependent inclusion. This allows us to deduce a convergence result which provides the continuous dependence of the solution with respect to the data. We end this paper with an example which represents an evidence of our abstract results.
dc.description.departmentMathematics
dc.formatText
dc.format.extent10 pages
dc.format.medium1 file (.pdf)
dc.identifier.citationHu, R., & Sofonea, M. (2022). Duality arguments for well-posedness of history-dependent variational inequalities. <i>Electronic Journal of Differential Equations, 2022</i>(03), pp. 1-10.
dc.identifier.issn1072-6691
dc.identifier.urihttps://hdl.handle.net/10877/16507
dc.language.isoen
dc.publisherTexas State University, Department of Mathematics
dc.rightsAttribution 4.0 International
dc.rights.holderThis work is licensed under a Creative Commons Attribution 4.0 International License.
dc.rights.urihttps://creativecommons.org/licenses/by/4.0/
dc.sourceElectronic Journal of Differential Equations, 2022, San Marcos, Texas: Texas State University and University of North Texas.
dc.subjectHistory-dependent variational inequality
dc.subjectDual problem
dc.subjectHistory-dependent inclusion
dc.subjectTykhonov well-posedness
dc.subjectConvergence results
dc.titleDuality arguments for well-posedness of history-dependent variational inequalities
dc.typeArticle

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