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| Main Author: | |
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| Format: | Preprint |
| Published: |
2025
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| Subjects: | |
| Online Access: | https://arxiv.org/abs/2503.03405 |
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| _version_ | 1866916644390961152 |
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| author | Larrouy, James |
| author_facet | Larrouy, James |
| contents | In this work, we study the external and internal stability of minimal solutions to set-valued optimization problems in a new functional framework. We consider perturbations on both the objective function and the admissible domain. To address these problems, we introduce two variational convergences for sequences of set-valued maps, namely the Gamma-cone convergence and the sequential Gamma-cone convergence. The upper and the lower convergence of strong level sets are also studied. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2503_03405 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Stability analysis for set-valued optimization in Geoffroy spaces Larrouy, James Optimization and Control General Topology 49J53, 54A20, 65K10, 90C29, 90C31 In this work, we study the external and internal stability of minimal solutions to set-valued optimization problems in a new functional framework. We consider perturbations on both the objective function and the admissible domain. To address these problems, we introduce two variational convergences for sequences of set-valued maps, namely the Gamma-cone convergence and the sequential Gamma-cone convergence. The upper and the lower convergence of strong level sets are also studied. |
| title | Stability analysis for set-valued optimization in Geoffroy spaces |
| topic | Optimization and Control General Topology 49J53, 54A20, 65K10, 90C29, 90C31 |
| url | https://arxiv.org/abs/2503.03405 |