National Changhua University of Education Institutional Repository : Item 987654321/8871

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NCUEIR > College of Science > math > Periodical Articles > Item 987654321/8871

Please use this identifier to cite or link to this item: http://ir.ncue.edu.tw/ir/handle/987654321/8871

Title:	On the Optimality Conditions of Differentiable Nonconvex n-Set Functions
Authors:	L. J. Lin
Contributors:	數學系
Date:	1992-08
Issue Date:	2011-05-10T06:45:29Z
Publisher:	Academic Press Inc.
Abstract:	Our main contribution is the extension of the concepts of quasiconvexity and pseudoconvexity to n-set functions. Some properties of differentiable nonconvex n-set functions are established. Necessary and sufficient conditions for the existence of an optimal solution of the nonconvex program with n-set functions are characterized by derivatives of the n-set functions involved. A duality theorem for the nonconvex program with n-set functions is also developed in this paper.
Relation:	Journal of Mathematical Analysis and Applications, 168(2)351-366
Appears in Collections:	[math] Periodical Articles

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