National Changhua University of Education Institutional Repository : Item 987654321/8872

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NCUEIR > College of Science > math > Periodical Articles > Item 987654321/8872

Please use this identifier to cite or link to this item: http://ir.ncue.edu.tw/ir/handle/987654321/8872

Title:	Optimization of Set-Valued Functions
Authors:	L. J. Lin
Contributors:	數學系
Date:	1994-08-15
Issue Date:	2011-05-10T06:45:40Z
Publisher:	Academic Press Inc.
Abstract:	Let X, Y, and Z be real topological vector spaces and Ec X be a convex set. CY, DZ are to be pointed convex cones. Let F: X → 2Y be C-convex and G: X → 2Z be D-convex set-valued functions. We consider the problems [formula] This paper generalizes the Moreau-Rockafellar type theorem and the Farkas-Minkowski type theorem for set-valued functions. When Y=Rn and Z=Rm, we established the necessary and sufficient conditions for the existence of Geoffrion efficient solution of (P) and the relationship between the proper efficient solutions and Geoffrion efficient solutions of (P). The Mond-Weir type and Wolfe type vector duality theorems are also considered in this paper.
Relation:	Journal of Mathematical Analysis and Applications, 186(1):30-51
Appears in Collections:	[math] Periodical Articles

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