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Please use this identifier to cite or link to this item:
http://ir.ncue.edu.tw/ir/handle/987654321/8865
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| Title: | Moreau-Rockafellar Type Theorem for Convex Set Functions |
| Authors: | H. C. Lai;L. J. Lin |
| Contributors: | 數學系 |
| Date: | 1988
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| Issue Date: | 2011-05-10T06:44:43Z
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| Publisher: | Academic Press Inc. |
| Abstract: | 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. |
| Relation: | Journal of Mathematical Analysis and Applications, 132(2):558-571 |
| Appears in Collections: | [數學系] 期刊論文
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| 202010210002.pdf | 569Kb | Adobe PDF | 2021 | View/Open |
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