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| 題名: | Moreau-Rockafellar Type Theorem for Convex Set Functions |
| 作者: | H. C. Lai;L. J. Lin |
| 貢獻者: | 數學系 |
| 日期: | 1988
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| 上傳時間: | 2011-05-10T06:44:43Z
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| 出版者: | Academic Press Inc. |
| 摘要: | Let (X, Γ, μ) be an atomless finite measure space and Γ a convex subfamily. It is proved that the Moreau-Rockafellar theorem, ∂(F1 + ··· + Fn)(Ω) = ∂F1(Ω) + ··· + ∂Fn(Ω), holds for proper convex set functions F1, …, Fn and Ω ε if all set functions Fi, except possibly one, are w*-lower semicontinuous on . As applications, the Kuhn-Tucker type condition for an optimal solution of convex programming problem with set functions and the Fritz John type condition for an optimal solution of vector-valued minimization problem for set functions are obtained. |
| 關聯: | Journal of Mathematical Analysis and Applications, 132(2):558-571 |
| 顯示於類別: | [數學系] 期刊論文
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