Stability for a stochastic fractional differential variational inequality with Lévy jump
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arXiv
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| Main Authors: | , , |
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| Format: | Preprint |
| Published: |
2024
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| _version_ | 1866910695333822464 |
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| author | Zeng, Yue Zhang, Yao-jia Huang, Nan-jing |
| author_facet | Zeng, Yue Zhang, Yao-jia Huang, Nan-jing |
| contents | The main goal of this paper is to investigate the multi-parameter stability result for a stochastic fractional differential variational inequality with Lévy jump (SFDVI with Lévy jump) under some mild conditions. We verify that Mosco convergence of the perturbed set implies point convergence of the projection onto the Hilbert space consisting of special stochastic processes whose range is the perturbed set. Moreover, by using the projection method and some inequality techniques, we establish a strong convergence result for the solution of SFDVI with Lévy jump when the mappings and constraint set are both perturbed. Finally, we apply the stability results to the spatial price equilibrium problem and the multi-agent optimization problem in stochastic environments. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2411_07557 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Stability for a stochastic fractional differential variational inequality with Lévy jump Zeng, Yue Zhang, Yao-jia Huang, Nan-jing Optimization and Control The main goal of this paper is to investigate the multi-parameter stability result for a stochastic fractional differential variational inequality with Lévy jump (SFDVI with Lévy jump) under some mild conditions. We verify that Mosco convergence of the perturbed set implies point convergence of the projection onto the Hilbert space consisting of special stochastic processes whose range is the perturbed set. Moreover, by using the projection method and some inequality techniques, we establish a strong convergence result for the solution of SFDVI with Lévy jump when the mappings and constraint set are both perturbed. Finally, we apply the stability results to the spatial price equilibrium problem and the multi-agent optimization problem in stochastic environments. |
| title | Stability for a stochastic fractional differential variational inequality with Lévy jump |
| topic | Optimization and Control |
| url | https://arxiv.org/abs/2411.07557 |