頁籤選單縮合
題名 | Closedness of Set of Efficient Solutions for Generalized Ky Fan Inequality Problems= |
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作者 | 龔循華; 楊新民; Gong, Xun-hua; Yang, Xin-min; |
期刊 | Taiwanese Journal of Mathematics |
出版日期 | 20141000 |
卷期 | 18:5 2014.10[民103.10] |
頁次 | 頁1511-1526 |
分類號 | 314 |
語文 | eng |
關鍵詞 | Generalized Ky Fan inequality problems; Vector optimization problem; Lipschitz vector variational inequality; Efficient solution; Closedness; |
英文摘要 | In this paper, we discuss the closedness of set of efficient solutions for generalized Ky Fan inequality problems in topological vector spaces. We introduce a concept of section mapping of a bifunction. By using the lower semicontinuity of the section mapping, we present sufficient conditions for the closedness of set of efficient solutions to the generalized Ky Fan inequality problems. We give conditions to guarantee the lower semicontinuity of the section mapping. We give also an example to illustrate that the condition of the lower semicontinuity of the section mapping is essential for the closedness of set of efficient solutions for generalized Ky Fan inequality problems. As an application, we give results of closedness of set of efficient solutions for vector optimization problems and for Lipschitz vector variational inequalities. |
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