SECOND-ORDER OPTIMALITY CONDITIONS IN SET-VALUED OPTIMIZATION BY A NEW TANGENTIAL DERIVATIVE
G. ISAC, A. A. KHAN
This paper gives new second-order necessary and sufficient optimality conditions in set-valued optimization. We define second-order tangential derivative/epiderivative of set-valued maps by taking contingent derivative of the first-order contingent derivative. The resulting derivatives/epiderivatives have strikingly simple structure and nice properties. The proposed derivatives are then employed to give new second-order optimality conditions for weakminimality in set-valued optimization.
Viện Toán học, Viện Hàn lâm Khoa học và Công nghệ Việt Nam
Địa chỉ: Số 18 đường Hoàng Quốc Việt, quận Cầu Giấy, Hà Nội
Điện thoại: 024 37563474 - Fax: 024 37564303
Email: vientoan@math.ac.vn
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