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http://ir.ncue.edu.tw/ir/handle/987654321/8871
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題名: | On the Optimality Conditions of Differentiable Nonconvex n-Set Functions |
作者: | L. J. Lin |
貢獻者: | 數學系 |
日期: | 1992-08
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上傳時間: | 2011-05-10T06:45:29Z
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出版者: | Academic Press Inc. |
摘要: | Our main contribution is the extension of the concepts of quasiconvexity and pseudoconvexity to n-set functions. Some properties of differentiable nonconvex n-set functions are established. Necessary and sufficient conditions for the existence of an optimal solution of the nonconvex program with n-set functions are characterized by derivatives of the n-set functions involved. A duality theorem for the nonconvex program with n-set functions is also developed in this paper. |
關聯: | Journal of Mathematical Analysis and Applications, 168(2)351-366 |
顯示於類別: | [數學系] 期刊論文
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202010210006.pdf | 688Kb | Adobe PDF | 896 | 檢視/開啟 |
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