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http://bura.brunel.ac.uk/handle/2438/32365Full metadata record
| DC Field | Value | Language |
|---|---|---|
| dc.contributor.author | Peng, Z-Y | - |
| dc.contributor.author | Zeng, Y | - |
| dc.contributor.author | Chuong, TD | - |
| dc.contributor.author | Yun, S | - |
| dc.contributor.author | Yang, X | - |
| dc.date.accessioned | 2025-11-18T12:53:03Z | - |
| dc.date.available | 2025-11-18T12:53:03Z | - |
| dc.date.issued | 2025-09-29 | - |
| dc.identifier | ORCiD: | - |
| dc.identifier | Article number: 17 | - |
| dc.identifier.citation | Peng, Z.Y. et al. (2026) 'Solution Stability and Well-Posedness for Classes of Parametric Set Optimization Problems', Journal of Optimization Theory and Applications, 208 (1), 17, pp. 1 - 25. doi: 10.1007/s10957-025-02850-x. | en_US |
| dc.identifier.issn | 0022-3239 | - |
| dc.identifier.uri | https://bura.brunel.ac.uk/handle/2438/32365 | - |
| dc.description | Mathematics Subject Classification: 49J53; 49K40; 90C31. | en_US |
| dc.description.abstract | This paper investigates the solution stability and well-posedness for a parametric set optimization problem (PSOP), where lower and upper set order relations are induced by an improvement set. We provide new sufficient conditions for the outer-continuity, outer-openness and inner-openness of the solution mapping of (PSOP). By utilizing the property of cone-continuity, we derive sufficient conditions ensuring the Levitin-Polyak well-posedness for (PSOP) and the Hadamard well-posedness for a related parametric implicit set optimization problem (ISOP). Numerical examples are also given to illustrate the main results. | en_US |
| dc.description.sponsorship | The first author was partially supported by the National Natural Science Foundation of China (12271067), the Chongqing Natural Science Foundation (CSTB2024NSCQ-MSX0973), and the Science and Technology Research Key Program of Chongqing Municipal Education Commission (KJZD-K202200704). The third author was partially supported by the Mid and Early Career Academic Research Support Scheme 2024-2025 of Brunel University of London. The fifth author was supported by the Postgraduate Scientific Research and Innovation Project of Chongqing Jiaotong University (2025S0089). | en_US |
| dc.format.extent | 1 - 25 | - |
| dc.format.medium | Print-Electronic | - |
| dc.language | English | - |
| dc.language.iso | en_US | en_US |
| dc.publisher | Springer Nature | en_US |
| dc.rights | Creative Commons Attribution 4.0 International | - |
| dc.rights.uri | https://creativecommons.org/licenses/by/4.0/ | - |
| dc.subject | set optimization | en_US |
| dc.subject | improvement set | en_US |
| dc.subject | solution stability | en_US |
| dc.subject | Levitin-Polyak well-posedness | en_US |
| dc.subject | Hadamard well-posedness | en_US |
| dc.subject | 49J53 | en_US |
| dc.subject | 49K40 | en_US |
| dc.subject | 90C31 | en_US |
| dc.title | Solution Stability and Well-Posedness for Classes of Parametric Set Optimization Problems | en_US |
| dc.type | Article | en_US |
| dc.date.dateAccepted | 2025-09-11 | - |
| dc.identifier.doi | https://doi.org/10.1007/s10957-025-02850-x | - |
| dc.relation.isPartOf | Journal of Optimization Theory and Applications | - |
| pubs.issue | 1 | - |
| pubs.publication-status | Published | - |
| pubs.volume | 208 | - |
| dc.identifier.eissn | 1573-2878 | - |
| dc.rights.license | https://creativecommons.org/licenses/by/4.0/legalcode.en | - |
| dcterms.dateAccepted | 2025-09-11 | - |
| dc.rights.holder | The Author(s) | - |
| Appears in Collections: | Dept of Mathematics Research Papers | |
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|---|---|---|---|---|
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