Well-Posedness Results of Certain Variational Inequalities
Well-posedness and generalized well-posedness results are examined for a class of commanded variational inequality problems. In this regard, by using the concepts of hemicontinuity, monotonicity, and pseudomonotonicity of the considered functional, and by introducing the set of approximating solutio...
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| Format: | Article |
| Language: | English |
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MDPI AG
2022-10-01
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| Series: | Mathematics |
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| Online Access: | https://www.mdpi.com/2227-7390/10/20/3809 |
| _version_ | 1827649092495343616 |
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| author | Savin Treanţă |
| author_facet | Savin Treanţă |
| author_sort | Savin Treanţă |
| collection | DOAJ |
| description | Well-posedness and generalized well-posedness results are examined for a class of commanded variational inequality problems. In this regard, by using the concepts of hemicontinuity, monotonicity, and pseudomonotonicity of the considered functional, and by introducing the set of approximating solutions of the considered commanded variational inequality problems, we establish several well-posedness and generalized well-posedness results. Moreover, some illustrative examples are provided to highlight the effectiveness of the results obtained in the paper. |
| first_indexed | 2024-03-09T19:52:04Z |
| format | Article |
| id | doaj.art-43d204d96cbb4109814456dee1393e12 |
| institution | Directory Open Access Journal |
| issn | 2227-7390 |
| language | English |
| last_indexed | 2024-03-09T19:52:04Z |
| publishDate | 2022-10-01 |
| publisher | MDPI AG |
| record_format | Article |
| series | Mathematics |
| spelling | doaj.art-43d204d96cbb4109814456dee1393e122023-11-24T01:07:20ZengMDPI AGMathematics2227-73902022-10-011020380910.3390/math10203809Well-Posedness Results of Certain Variational InequalitiesSavin Treanţă0Department of Applied Mathematics, University Politehnica of Bucharest, 060042 Bucharest, RomaniaWell-posedness and generalized well-posedness results are examined for a class of commanded variational inequality problems. In this regard, by using the concepts of hemicontinuity, monotonicity, and pseudomonotonicity of the considered functional, and by introducing the set of approximating solutions of the considered commanded variational inequality problems, we establish several well-posedness and generalized well-posedness results. Moreover, some illustrative examples are provided to highlight the effectiveness of the results obtained in the paper.https://www.mdpi.com/2227-7390/10/20/3809well-posedness and generalized well-posednesscommanded variational inequalitymonotonicityhemicontinuitypseudomonotonicityfunctional |
| spellingShingle | Savin Treanţă Well-Posedness Results of Certain Variational Inequalities Mathematics well-posedness and generalized well-posedness commanded variational inequality monotonicity hemicontinuity pseudomonotonicity functional |
| title | Well-Posedness Results of Certain Variational Inequalities |
| title_full | Well-Posedness Results of Certain Variational Inequalities |
| title_fullStr | Well-Posedness Results of Certain Variational Inequalities |
| title_full_unstemmed | Well-Posedness Results of Certain Variational Inequalities |
| title_short | Well-Posedness Results of Certain Variational Inequalities |
| title_sort | well posedness results of certain variational inequalities |
| topic | well-posedness and generalized well-posedness commanded variational inequality monotonicity hemicontinuity pseudomonotonicity functional |
| url | https://www.mdpi.com/2227-7390/10/20/3809 |
| work_keys_str_mv | AT savintreanta wellposednessresultsofcertainvariationalinequalities |