Convergence rates and finite-dimensional approximation for a class of ill-posed variational inequalities
The purpose of this paper is to investigate an operator version of Tikhonov regularization for a class of ill-posed variational inequalities under arbitrary perturbation operators. Aspects of convergence rate and finite-dimensional approximations are considered. An example in the theory of generaliz...
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| Date: | 1997 |
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| Main Authors: | , |
| Format: | Article |
| Language: | English |
| Published: |
Institute of Mathematics, NAS of Ukraine
1997
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| Online Access: | https://umj.imath.kiev.ua/index.php/umj/article/view/5043 |
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| Journal Title: | Ukrains’kyi Matematychnyi Zhurnal |
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Ukrains’kyi Matematychnyi Zhurnal| _version_ | 1860511237032378368 |
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| author | Nguen, Byong Нгуєн, Бионг |
| author_facet | Nguen, Byong Нгуєн, Бионг |
| author_sort | Nguen, Byong |
| baseUrl_str | https://umj.imath.kiev.ua/index.php/umj/oai |
| collection | OJS |
| datestamp_date | 2020-03-18T21:23:40Z |
| description | The purpose of this paper is to investigate an operator version of Tikhonov regularization for a class of ill-posed variational inequalities under arbitrary perturbation operators. Aspects of convergence rate and finite-dimensional approximations are considered. An example in the theory of generalized eigenvectors is given for illustration. |
| first_indexed | 2026-03-24T03:09:42Z |
| format | Article |
| fulltext |
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| id | umjimathkievua-article-5043 |
| institution | Ukrains’kyi Matematychnyi Zhurnal |
| keywords_txt_mv | keywords |
| language | English |
| last_indexed | 2026-03-24T03:09:42Z |
| publishDate | 1997 |
| publisher | Institute of Mathematics, NAS of Ukraine |
| record_format | ojs |
| resource_txt_mv | umjimathkievua/a0/51f3f82cd4a37b15420a1e72cd5b45a0.pdf |
| spelling | umjimathkievua-article-50432020-03-18T21:23:40Z Convergence rates and finite-dimensional approximation for a class of ill-posed variational inequalities Convergence rates and finite-dimensional approximation for a class of ill-posed variational inequalities Nguen, Byong Нгуєн, Бионг The purpose of this paper is to investigate an operator version of Tikhonov regularization for a class of ill-posed variational inequalities under arbitrary perturbation operators. Aspects of convergence rate and finite-dimensional approximations are considered. An example in the theory of generalized eigenvectors is given for illustration. The purpose of this paper is to investigate an operator version of Tikhonov regularization for a class of ill-posed variational inequalities under arbitrary perturbation operators. Aspects of convergence rate and finite-dimensional approximations are considered. An example in the theory of generalized eigenvectors is given for illustration. Institute of Mathematics, NAS of Ukraine 1997-05-25 Article Article application/pdf https://umj.imath.kiev.ua/index.php/umj/article/view/5043 Ukrains’kyi Matematychnyi Zhurnal; Vol. 49 No. 5 (1997); 629–637 Український математичний журнал; Том 49 № 5 (1997); 629–637 1027-3190 en https://umj.imath.kiev.ua/index.php/umj/article/view/5043/6783 https://umj.imath.kiev.ua/index.php/umj/article/view/5043/6784 Copyright (c) 1997 Nguen Byong |
| spellingShingle | Nguen, Byong Нгуєн, Бионг Convergence rates and finite-dimensional approximation for a class of ill-posed variational inequalities |
| title | Convergence rates and finite-dimensional approximation for a class of ill-posed variational inequalities |
| title_alt | Convergence rates and finite-dimensional approximation for a class of ill-posed variational inequalities |
| title_full | Convergence rates and finite-dimensional approximation for a class of ill-posed variational inequalities |
| title_fullStr | Convergence rates and finite-dimensional approximation for a class of ill-posed variational inequalities |
| title_full_unstemmed | Convergence rates and finite-dimensional approximation for a class of ill-posed variational inequalities |
| title_short | Convergence rates and finite-dimensional approximation for a class of ill-posed variational inequalities |
| title_sort | convergence rates and finite-dimensional approximation for a class of ill-posed variational inequalities |
| url | https://umj.imath.kiev.ua/index.php/umj/article/view/5043 |
| work_keys_str_mv | AT nguenbyong convergenceratesandfinitedimensionalapproximationforaclassofillposedvariationalinequalities AT nguênbiong convergenceratesandfinitedimensionalapproximationforaclassofillposedvariationalinequalities |