상세 보기
Solution Stability and Well-Posedness for Classes of Parametric Set Optimization Problems
- Peng, Zai-Yun;
- Zeng, Yue;
- Chuong, Thai Doan;
- Yun, Sangwoon;
- Yang, Xin
Citations
WEB OF SCIENCE
4Citations
SCOPUS
3초록
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.
키워드
Hadamard well-posedness; Improvement set; Levitin-Polyak well-posedness; Set optimization; Solution Stability
- 제목
- Solution Stability and Well-Posedness for Classes of Parametric Set Optimization Problems
- 저자
- Peng, Zai-Yun; Zeng, Yue; Chuong, Thai Doan; Yun, Sangwoon; Yang, Xin
- 발행일
- 2025-09
- 유형
- Article
- 권
- 208
- 호
- 1