LIÊN KẾT WEBSITE
ε-Optimality conditions for vector optimization problems with set-valued maps
Numerical Functional Analysis and Optimization Số 1, năm 2010 (Tập 31, trang 78-95)
ISSN: 1630563
ISSN: 1630563
DOI: 10.1080/01630560903499845
Tài liệu thuộc danh mục: Scopus
Article
English
Từ khóa: Optimality conditions; Set-valued map; Subdifferentials; Subgradient; Vector optimizations; Nonlinear control systems; Set theory; Vectors; Optimization
Tóm tắt tiếng anh
In this paper, I introduce two kinds of -subgradients-Pareto subgradients and ε-Benson proper subgradientsfor set-valued maps. I give sufficient conditions for the existence of such ε-subgradients. A generalized ε-Moreau-Rockafellar type theorem for ε-Benson proper subdifferentials of set-valued maps is formulated and applied to establish ε-optimality conditions for ε-Benson proper efficient solutions of vector optimization problems with set-valued maps. Scalarization theorems for such a problem are also obtained.
