Algorithms and Inertial Algorithms for Inverse Mixed Variational Inequality Problems in Hilbert Spaces
The inverse mixed variational inequality problem comes from classical variational inequality, and it has many applications. In this paper, we propose new algorithms to study the inverse mixed variational inequality problems in Hilbert spaces, and these algorithms are based on the generalized project...
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| Published in | Mathematics (Basel) Vol. 13; no. 12; p. 1966 |
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| Main Author | |
| Format | Journal Article |
| Language | English |
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Basel
MDPI AG
01.06.2025
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| ISSN | 2227-7390 2227-7390 |
| DOI | 10.3390/math13121966 |
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| Abstract | The inverse mixed variational inequality problem comes from classical variational inequality, and it has many applications. In this paper, we propose new algorithms to study the inverse mixed variational inequality problems in Hilbert spaces, and these algorithms are based on the generalized projection operator. Next, we establish convergence theorems under inverse strong monotonicity conditions. In addition, we also provide inertial-type algorithms for the inverse mixed variational inequality problems with conditions that differ from the above convergence theorems. |
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| AbstractList | The inverse mixed variational inequality problem comes from classical variational inequality, and it has many applications. In this paper, we propose new algorithms to study the inverse mixed variational inequality problems in Hilbert spaces, and these algorithms are based on the generalized projection operator. Next, we establish convergence theorems under inverse strong monotonicity conditions. In addition, we also provide inertial-type algorithms for the inverse mixed variational inequality problems with conditions that differ from the above convergence theorems. |
| Audience | Academic |
| Author | Chuang, Chih-Sheng |
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| SubjectTerms | Algorithms Codes Convergence generalized projection Hilbert space Inequalities (Mathematics) inertial algorithm inverse strong monotonicity inverse variational inequality Theorems variational inequality |
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| Title | Algorithms and Inertial Algorithms for Inverse Mixed Variational Inequality Problems in Hilbert Spaces |
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