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ε-super Effcient Solutions of Optimization Problems with Set-valued Maps in Locally Convex Space 被引量:1

ε-super Effcient Solutions of Optimization Problems with Set-valued Maps in Locally Convex Space
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摘要 In this paper,the ε-super effcient solution for set-valued map vector optimization in locally convex space is introduced.And under the assumption of the nearly generalized cone-subconvexlikeness for set-valued maps,used new methods,the scalarization theorem and Lagrange multiplier theorem for ε-super effcient solution are established. In this paper,the ε-super effcient solution for set-valued map vector optimization in locally convex space is introduced.And under the assumption of the nearly generalized cone-subconvexlikeness for set-valued maps,used new methods,the scalarization theorem and Lagrange multiplier theorem for ε-super effcient solution are established.
出处 《Chinese Quarterly Journal of Mathematics》 CSCD 2011年第1期26-31,共6页 数学季刊(英文版)
基金 Supported by the Natural Science Foundation of the Education Department of Henan Province(2004110008)
关键词 nearly generalized cone-subconvexlikeness set-valued map ε-super effcient solution lagrange multiplier nearly generalized cone-subconvexlikeness set-valued map ε-super effcient solution lagrange multiplier
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