Sự tồn tại và tính nửa liên tục trên của nghiệm bài toán cân bằng tách
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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.
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.
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