STABILITY OF STRONG SOLUTIONS TO SET OPTIMIZATION PROBLEMS

  • Dinh Vinh Hien
Từ khóa: Keywords: Parametric set optimization problem, set less order relation, converse property, upper semicontinuity, lower semicontinuity.

Tóm tắt

In this paper, we study stability for parametric set optimization problems. We first mention the concepts of solutions to such problems based on set less order relation between sets. Then, we introduce the converse property of set-valued mappings. Under suitable assumptions, the upper and lower semicontinuity of strong solution mappings are established. Our results are new and different from the existing ones in the literature.

điểm /   đánh giá
Phát hành ngày
2021-12-17
In ra
Tập. 21 Số. 03
Chuyên mục
Bài viết