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NCUEIR > College of Science > math > Periodical Articles > Item 987654321/8865

Please use this identifier to cite or link to this item: http://ir.ncue.edu.tw/ir/handle/987654321/8865

Title:	Moreau-Rockafellar Type Theorem for Convex Set Functions
Authors:	H. C. Lai;L. J. Lin
Contributors:	數學系
Date:	1988
Issue Date:	2011-05-10T06:44:43Z
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:	[math] Periodical Articles

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