On a class of saddle point problems and convergence results
We consider an abstract mixed variational problem consisting of two inequalities. The first one is governed by a functional φ, possibly non-differentiable. The second inequality is governed by a nonlinear term depending on a non negative parameter ǫ. We study the existence and the uniqueness of the so...
| Main Authors: | , |
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| Format: | Article |
| Language: | English |
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Vilnius Gediminas Technical University
2020-10-01
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| Series: | Mathematical Modelling and Analysis |
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| Online Access: | https://www.bjrbe.vgtu.lt/index.php/MMA/article/view/11140 |
| _version_ | 1818878513078337536 |
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| author | Mariana Chivu Cojocaru Andaluzia Matei |
| author_facet | Mariana Chivu Cojocaru Andaluzia Matei |
| author_sort | Mariana Chivu Cojocaru |
| collection | DOAJ |
| description | We consider an abstract mixed variational problem consisting of two inequalities. The first one is governed by a functional φ, possibly non-differentiable. The second inequality is governed by a nonlinear term depending on a non negative parameter ǫ. We study the existence and the uniqueness of the solution by means of the saddle point theory. In addition to existence and uniqueness results, we deliver convergence results for ǫ → 0. Finally, we illustrate the abstract results by means of two examples arising from contact mechanics. |
| first_indexed | 2024-12-19T14:15:22Z |
| format | Article |
| id | doaj.art-e2388f04ab6041fbb90bc02f2175981f |
| institution | Directory Open Access Journal |
| issn | 1392-6292 1648-3510 |
| language | English |
| last_indexed | 2024-12-19T14:15:22Z |
| publishDate | 2020-10-01 |
| publisher | Vilnius Gediminas Technical University |
| record_format | Article |
| series | Mathematical Modelling and Analysis |
| spelling | doaj.art-e2388f04ab6041fbb90bc02f2175981f2022-12-21T20:18:00ZengVilnius Gediminas Technical UniversityMathematical Modelling and Analysis1392-62921648-35102020-10-0125410.3846/mma.2020.11140On a class of saddle point problems and convergence resultsMariana Chivu Cojocaru0Andaluzia Matei1Doctoral School of Sciences, University of Craiova, A.I. Cuza 13, 200585 Craiova, RomaniaDepartment of Mathematics, University of Craiova, A.I. Cuza 13, 200585 Craiova, RomaniaWe consider an abstract mixed variational problem consisting of two inequalities. The first one is governed by a functional φ, possibly non-differentiable. The second inequality is governed by a nonlinear term depending on a non negative parameter ǫ. We study the existence and the uniqueness of the solution by means of the saddle point theory. In addition to existence and uniqueness results, we deliver convergence results for ǫ → 0. Finally, we illustrate the abstract results by means of two examples arising from contact mechanics.https://www.bjrbe.vgtu.lt/index.php/MMA/article/view/11140mixed variational problempenalty termsaddle pointconvergence result |
| spellingShingle | Mariana Chivu Cojocaru Andaluzia Matei On a class of saddle point problems and convergence results Mathematical Modelling and Analysis mixed variational problem penalty term saddle point convergence result |
| title | On a class of saddle point problems and convergence results |
| title_full | On a class of saddle point problems and convergence results |
| title_fullStr | On a class of saddle point problems and convergence results |
| title_full_unstemmed | On a class of saddle point problems and convergence results |
| title_short | On a class of saddle point problems and convergence results |
| title_sort | on a class of saddle point problems and convergence results |
| topic | mixed variational problem penalty term saddle point convergence result |
| url | https://www.bjrbe.vgtu.lt/index.php/MMA/article/view/11140 |
| work_keys_str_mv | AT marianachivucojocaru onaclassofsaddlepointproblemsandconvergenceresults AT andaluziamatei onaclassofsaddlepointproblemsandconvergenceresults |