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http://ir.ncue.edu.tw/ir/handle/987654321/8871
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Title: | On the Optimality Conditions of Differentiable Nonconvex n-Set Functions |
Authors: | L. J. Lin |
Contributors: | 數學系 |
Date: | 1992-08
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Issue Date: | 2011-05-10T06:45:29Z
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Publisher: | Academic Press Inc. |
Abstract: | 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. |
Relation: | Journal of Mathematical Analysis and Applications, 168(2)351-366 |
Appears in Collections: | [數學系] 期刊論文
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202010210006.pdf | 688Kb | Adobe PDF | 594 | View/Open |
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