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NCUEIR > College of Science > math > Periodical Articles > Item 987654321/8867

Please use this identifier to cite or link to this item: http://ir.ncue.edu.tw/ir/handle/987654321/8867

Title:	Optimality for Set Functions with Values in Ordered Vector Spaces
Authors:	H. C. Lai;L. J. Lin
Contributors:	數學系
Keywords:	Convex set functions;strictly convex set functions;convex subfamily of measurable subsets;ordered vector spaces;normal cones;C-convex set functions;minimal points, weak minimal points;saddle points;weak saddle points;subdifferentials;weak subdifferentials;order-complete vector lattices
Date:	1989-12
Issue Date:	2011-05-10T06:44:55Z
Publisher:	Springer Verlag
Abstract:	Let (X, F,/z) be a finite atomless measure space, 5e a convex subfamily of F, and Y and Z locally convex Hausdortt topological vector spaces which are ordered by the cones C and D, respectively. Let F:5�-~ Y be C-convex and G:oW~ Z be D-convex set functions. Consider the following optimization problem (P): minimize F(f~), subject to i2cff and G(l)) ---o 0. The paper generalizes the Moreau- Rockafellar theorem with set functions. By applying this theorem, a Kuhn-Tucker type optimality condition and a Fritz John type optimality condition for problem (P) are established. The duality theorem for problem (P) is also studied.
Relation:	Journal of Optimization Theory and Applications, 63(3):371-389
Appears in Collections:	[math] Periodical Articles

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