| ON THE STRICT EFFICIENCY IN A LOCALLYCONVEX SPACE |
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| 作者姓名： | FU Wantao |
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| 作者单位： | FU Wantao (Department of Mathematics，Nanchang University，Nanchang 330047，China)CHENG Yonghong (Institute of Systems Science，Acadetnia Sinica，Beijing 100080，China) |
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| 摘 要： | 1.IntroductionInreference11,theconceptofstrictefficiency)anewkindofproperefficiency,wasintroductedinvectoroptimizationinarealnormedspace.ThisefficiencyisshowntohavemailydesirablepropertiesandbeanextensionofthesuperefficiencyinthesenseofBorwein2].Inthispaper,wecontinuethestudyofstrictefficiency.WeeXtendthestrictefficiencyinnormedspacestothecaseinlocallyconvexvectorspaces.Themainpurposeofthepreselltpaperistogiveascalarchaxacterizationofstrictefficiencybyusingakindoffunctional(so--called"base…
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ON THE STRICT EFFICIENCY IN A LOCALLY CONVEX SPACE |
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| FU Wantao.ON THE STRICT EFFICIENCY IN A LOCALLYCONVEX SPACE[J].Journal of Systems Science and Complexity,1999(1). |
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| Authors: | FU Wantao |
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| Abstract: | In this paper, a new concept, strictly efficient points in locally convex spaces,is introduced, and scalar characterization of a strictly efficient point is established. Furthermore, we study the best approximation property for a strictly efficient point by an equivalent norm. |
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| Keywords: | Strictly efficient points base for a cone best approximation property |
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