On some variational inequality-constrained control problems
Abstract In this paper, by considering some properties associated with scalar functionals of multiple-integral type, we study the well-posedness and generalized well-posedness for a new variational inequality-constrained optimization problems By using the set of approximating solutions, we state som...
| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
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SpringerOpen
2022-12-01
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| Series: | Journal of Inequalities and Applications |
| Subjects: | |
| Online Access: | https://doi.org/10.1186/s13660-022-02895-w |
| _version_ | 1811196672937558016 |
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| author | Savin Treanţă Tadeusz Antczak Tareq Saeed |
| author_facet | Savin Treanţă Tadeusz Antczak Tareq Saeed |
| author_sort | Savin Treanţă |
| collection | DOAJ |
| description | Abstract In this paper, by considering some properties associated with scalar functionals of multiple-integral type, we study the well-posedness and generalized well-posedness for a new variational inequality-constrained optimization problems By using the set of approximating solutions, we state some characterization theorems on well-posedness and generalized well-posedness. Also, in order to validate the derived results, some examples are given. |
| first_indexed | 2024-04-12T01:01:47Z |
| format | Article |
| id | doaj.art-f72090d83d5e46638f1b827c0e281e7b |
| institution | Directory Open Access Journal |
| issn | 1029-242X |
| language | English |
| last_indexed | 2024-04-12T01:01:47Z |
| publishDate | 2022-12-01 |
| publisher | SpringerOpen |
| record_format | Article |
| series | Journal of Inequalities and Applications |
| spelling | doaj.art-f72090d83d5e46638f1b827c0e281e7b2022-12-22T03:54:25ZengSpringerOpenJournal of Inequalities and Applications1029-242X2022-12-012022111710.1186/s13660-022-02895-wOn some variational inequality-constrained control problemsSavin Treanţă0Tadeusz Antczak1Tareq Saeed2Faculty of Applied Sciences, University Politehnica of BucharestFaculty of Mathematics and Computer Science, University of LódźFaculty of Sciences, King Abdulaziz UniversityAbstract In this paper, by considering some properties associated with scalar functionals of multiple-integral type, we study the well-posedness and generalized well-posedness for a new variational inequality-constrained optimization problems By using the set of approximating solutions, we state some characterization theorems on well-posedness and generalized well-posedness. Also, in order to validate the derived results, some examples are given.https://doi.org/10.1186/s13660-022-02895-wWell-posednessControl problemMonotonicityHemicontinuity |
| spellingShingle | Savin Treanţă Tadeusz Antczak Tareq Saeed On some variational inequality-constrained control problems Journal of Inequalities and Applications Well-posedness Control problem Monotonicity Hemicontinuity |
| title | On some variational inequality-constrained control problems |
| title_full | On some variational inequality-constrained control problems |
| title_fullStr | On some variational inequality-constrained control problems |
| title_full_unstemmed | On some variational inequality-constrained control problems |
| title_short | On some variational inequality-constrained control problems |
| title_sort | on some variational inequality constrained control problems |
| topic | Well-posedness Control problem Monotonicity Hemicontinuity |
| url | https://doi.org/10.1186/s13660-022-02895-w |
| work_keys_str_mv | AT savintreanta onsomevariationalinequalityconstrainedcontrolproblems AT tadeuszantczak onsomevariationalinequalityconstrainedcontrolproblems AT tareqsaeed onsomevariationalinequalityconstrainedcontrolproblems |