An Approximation Theorem and Generic Convergence of Solutions of Inverse Quasivariational Inequality Problems
In this paper, we mainly obtain an approximation theorem and generic convergence of solutions for inverse quasivariational inequality problems. First, we define the concept of the approximate solution to inverse quasivariational inequality problems under bounded rationality theory. Afterward, an app...
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| Format: | Article |
| Language: | English |
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Wiley
2022-01-01
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| Series: | Journal of Function Spaces |
| Online Access: | http://dx.doi.org/10.1155/2022/2539961 |
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| _version_ | 1832555187715178496 |
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| author | Ting Liu Wensheng Jia |
| author_facet | Ting Liu Wensheng Jia |
| author_sort | Ting Liu |
| collection | DOAJ |
| description | In this paper, we mainly obtain an approximation theorem and generic convergence of solutions for inverse quasivariational inequality problems. First, we define the concept of the approximate solution to inverse quasivariational inequality problems under bounded rationality theory. Afterward, an approximation theorem that satisfies fairly mild assumptions is proved. Moreover, we establish a function space and discuss the convergence properties of solutions for inverse quasivariational inequality problems by the method of set-valued analysis. Finally, we prove that most of inverse quasivariational inequality problems are stable in the case of perturbation of the objective function. These results are new, which improve the corresponding outcomes of the recent literatures. |
| format | Article |
| id | doaj-art-837cee08538b408dbe7848c7c3d960b1 |
| institution | Kabale University |
| issn | 2314-8888 |
| language | English |
| publishDate | 2022-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Journal of Function Spaces |
| spelling | doaj-art-837cee08538b408dbe7848c7c3d960b12025-02-03T05:49:21ZengWileyJournal of Function Spaces2314-88882022-01-01202210.1155/2022/2539961An Approximation Theorem and Generic Convergence of Solutions of Inverse Quasivariational Inequality ProblemsTing Liu0Wensheng Jia1College of Mathematics and StatisticsCollege of Mathematics and StatisticsIn this paper, we mainly obtain an approximation theorem and generic convergence of solutions for inverse quasivariational inequality problems. First, we define the concept of the approximate solution to inverse quasivariational inequality problems under bounded rationality theory. Afterward, an approximation theorem that satisfies fairly mild assumptions is proved. Moreover, we establish a function space and discuss the convergence properties of solutions for inverse quasivariational inequality problems by the method of set-valued analysis. Finally, we prove that most of inverse quasivariational inequality problems are stable in the case of perturbation of the objective function. These results are new, which improve the corresponding outcomes of the recent literatures.http://dx.doi.org/10.1155/2022/2539961 |
| spellingShingle | Ting Liu Wensheng Jia An Approximation Theorem and Generic Convergence of Solutions of Inverse Quasivariational Inequality Problems Journal of Function Spaces |
| title | An Approximation Theorem and Generic Convergence of Solutions of Inverse Quasivariational Inequality Problems |
| title_full | An Approximation Theorem and Generic Convergence of Solutions of Inverse Quasivariational Inequality Problems |
| title_fullStr | An Approximation Theorem and Generic Convergence of Solutions of Inverse Quasivariational Inequality Problems |
| title_full_unstemmed | An Approximation Theorem and Generic Convergence of Solutions of Inverse Quasivariational Inequality Problems |
| title_short | An Approximation Theorem and Generic Convergence of Solutions of Inverse Quasivariational Inequality Problems |
| title_sort | approximation theorem and generic convergence of solutions of inverse quasivariational inequality problems |
| url | http://dx.doi.org/10.1155/2022/2539961 |
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