SCALARIZATION IN SET OPTIMIZATION AND APPLICATIONS

  • Dinh Vinh Hien
  • Nguyen Dinh Inh
Từ khóa: Scalarizing function, set optimization problems, well-posedness, equilibrium problems.

Tóm tắt

In this paper, we study the properties of the nonlinear scalarizing functions for set optimization problems and its applications. First, under suitable assumptions, we establish the semicontinuity and pseudo-monotonicity of such functions. Next, by using the above properties, we study the well-posedness of related equilibrium problems. Our results are new or improve the existing ones in the literature.

điểm /   đánh giá
Phát hành ngày
2022-10-21
In ra
Tập. 22 Số. 3 (2022): SỐ ĐẶC BIỆT
Chuyên mục
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