A reconsideration of quasimonotone variational inequality problems
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arXiv
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| Main Authors: | , , |
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| Format: | Preprint |
| Published: |
2025
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| _version_ | 1866914249658335232 |
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| author | Wang, Meiying Liu, Hongwei Yang, Jun |
| author_facet | Wang, Meiying Liu, Hongwei Yang, Jun |
| contents | This paper is based on Tseng's exgradient algorithm for solving variational inequality problems in real Hilbert spaces. Under the assumptions that the cost operator is quasimonotone and Lipschitz continuous, we establish the strong convergence, sublinear convergence, and Q-linear convergence of the algorithm. The results of this paper provide new insights into quasimonotone variational inequality problems, extending and enriching existing results in the literature. Finally, we conduct numerical experiments to illustrate the effectiveness and implementability of our proposed condition and algorithm. |
| format | Preprint |
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arxiv_https___arxiv_org_abs_2506_09389 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | A reconsideration of quasimonotone variational inequality problems Wang, Meiying Liu, Hongwei Yang, Jun Optimization and Control 47H05, 47J20, 47J25, 90C25 This paper is based on Tseng's exgradient algorithm for solving variational inequality problems in real Hilbert spaces. Under the assumptions that the cost operator is quasimonotone and Lipschitz continuous, we establish the strong convergence, sublinear convergence, and Q-linear convergence of the algorithm. The results of this paper provide new insights into quasimonotone variational inequality problems, extending and enriching existing results in the literature. Finally, we conduct numerical experiments to illustrate the effectiveness and implementability of our proposed condition and algorithm. |
| title | A reconsideration of quasimonotone variational inequality problems |
| topic | Optimization and Control 47H05, 47J20, 47J25, 90C25 |
| url | https://arxiv.org/abs/2506.09389 |