Trần Ngọc Tâm * , Lâm Văn Đầy , Nguyễn Quốc Thanh Nguyễn Chí Thắng

* Tác giả liên hệ (tntam@ctu.edu.vn)

Abstract

This paper considers split equilibrium problems. By using the well-known KKM-Fan lemma, existence conditions for the considered problems are established. When the objective functions and the constraint maps of such problems are perturbed by parameters, sufficient conditions under which the solution maps being upper semicontinuous are investigated.

Keywords: Existence of solutions, KKM-Fan lemma, split equilibrium problems, upper semicontinuity

Tóm tắt

Bài báo xem xét bài toán cân bằng tách. Bằng cách sử dụng bổ đề KKM-Fan, các điều kiện tồn tại cho bài toán cân bằng tách được thiết lập. Khi hàm mục tiêu và ánh xạ ràng buộc của các bài toán đang xét bị nhiễu bởi tham số, các điều kiện đủ đảm bảo tính nửa liên tục trên của ánh xạ nghiệm cũng được nghiên cứu.

Từ khóa: Bài toán cân bằng tách, bổ đề KKM-Fan, sự tồn tại nghiệm, tính nửa liên tục trên

Article Details

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