ĐIỀU KIỆN CẦN HỮU HIỆU CẤP CAO CHO NGHIỆM HỮU HIỆU YẾU VÀ HENIG ĐỊA PHƯƠNG CỦA BÀI TOÁN CÂN BẰNG VECTƠ CÓ RÀNG BUỘC SỬ DỤNG ĐẠO HÀM STUDNIARSKI=HIGHER ORDER NECESSARY EFFICIENCY CONDITIONS FOR LOCAL WEAK AND HENIG EFFICIENT SOLUTIONS OF VECTOR EQUILIBRIUM PROBLEMS WITH CONSTRAINTS USING STUDNIARSKI’S DERIVATIVES

0 Người đánh giá. Xếp hạng trung bình 0

Tác giả: Diệu Hằng Đinh, Khoa Thu Hoài, Văn Sự Trần

Ngôn ngữ: vie

Ký hiệu phân loại:

Thông tin xuất bản: Tạp chí Khoa học và Công nghệ - Đại học Thái Nguyên, 2019

Mô tả vật lý:

Bộ sưu tập: Báo, Tạp chí

ID: 428229

Thêm vào giỏ

Bài toán cân bằng vec tơ với ràng buộc cân bằng (hay còn gọi là các ràng buộc bù) bao gồm bài toán bất đẳng thức biến phân vec tơ và bài toán tối ưu vec tơ với ràng buộc cân bằng như các trường hợp đặc biệt. Điều kiện chính quy và điều kiện tối ưu cho các bài toán tối ưu với ràng buộc cân bằng đã được nghiên cứu bởi nhiều tác giả. Việc tìm các điều kiện chính quy thích hợp để dẫn các điều kiện Kuhn–Tucker cho bài toán tối ưu với ràng buộc cân bằng là đề tài thu hút sự quan tâm nghiên cứu rộng rãi của nhiều tác giả trong những năm gần đây. Trong bài báo này chúng tôi nghiên cứu và phát triển các điều kiện cần hữu hiệu cho nghiệm hữu hiệu yếu địa phương và nghiệm hữu hiệu Henig địa phương cho bài toán cân bằng vectơ có ràng buộ c tập và nón trong không gian Banach theo ngôn ngữ đạo hàm Studniaski cấp cao. Kết quả nhận được được áp dụng cho nghiệm siêu hữu hiệu địa phương của bài toán dưới giả thiết phù hợp về cơ sở của nón.The vector quilibrium problem with equilibrium constraints (it also called complementarity constraints) including vector variational inequalities and vector optimization problems with equilibrium constraints as special cases. The constraint qualification and optimality condition for optimization problems with equilibrium constraints are investigated by a lot of authors. Finding the suitable contraint qualifications to derive the Kuhn-Tucker conditions for optimization problems with equilibrium constraints have been extensively studied in recent years by many authors. In this article we study and develop the efficiency conditions for local weak efficient solution and local Henig efficient solution of vectơ equilibrium problems with constraints involving set and cone in Banach spaces in terms of higher order Studniaski’ derivatives. The result obtained is applied for local superefficient solution of the problem under the suitable assumptions on the base of cone.

Tạo bộ sưu tập với mã QR