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On super efficiency in set-valued optimization 被引量:3

On super efficiency in set-valued optimization
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摘要 The set-valued optimization problem with constraints is considered in the sense of super efficiency in locally convex linear topological spaces. Under the assumption of iccone-convexlikeness, by applying the seperation theorem, Kuhn-Tucker's, Lagrange's and saddle points optimality conditions, the necessary conditions are obtained for the set-valued optimization problem to attain its super efficient solutions. Also, the sufficient conditions for Kuhn-Tucker's, Lagrange's and saddle points optimality conditions are derived. The set-valued optimization problem with constraints is considered in the sense of super efficiency in locally convex linear topological spaces. Under the assumption of iccone-convexlikeness, by applying the seperation theorem, Kuhn-Tucker's, Lagrange's and saddle points optimality conditions, the necessary conditions are obtained for the set-valued optimization problem to attain its super efficient solutions. Also, the sufficient conditions for Kuhn-Tucker's, Lagrange's and saddle points optimality conditions are derived.
出处 《Applied Mathematics(A Journal of Chinese Universities)》 SCIE CSCD 2009年第2期144-150,共7页 高校应用数学学报(英文版)(B辑)
基金 Supported by the National Natural Science Foundation of China (10461007) the Science and Technology Foundation of the Education Department of Jiangxi Province (GJJ09069)
关键词 super efficiency IC-CONE-CONVEXLIKENESS set-valued optimization saddle point super efficiency, ic-cone-convexlikeness, set-valued optimization, saddle point
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