| A STRONG OPTIMIZATION THEOREM IN LOCALLY CONVEX SPACES |
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| 作者姓名： | CHENG Lixin TENG Yanmei |
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| 作者单位： | CHENG LIXIN TENG YANMEI Department of Mathematics，Xiamen University，Xiamen 361005，Fujian，China. Department of Mathematics，Beihang University，Beijing 100083，China. |
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| 基金项目： | Project supported by the National Natural Science Foundation of China(No.10071063) |
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| 摘 要： | This paper presents a geometric characterization of convex sets in locally convex spaces on which a strong optimization theorem of the Stegall-type holds, and gives Collier's theorem of w Asplund spaces a localized setting.
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| 关 键 词： | 强优化定理 局部凸空间 凸集 凸函数 Frechet可微 Radon-Nikodym性质 强暴露性 Minkowski空间 |
| 收稿时间： | 9/1/2017 12:00:00 AM |
| 修稿时间： | 4/2/2026 12:00:00 AM |
A Strong Optimization Theorem in Locally Convex Spaces |
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| CHENG Lixin,TENG Yanmei.A STRONG OPTIMIZATION THEOREM IN LOCALLY CONVEX SPACES[J].Chinese Annals of Mathematics,Series B,2003,24(3):395-402. |
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| Authors: | CHENG Lixin and TENG Yanmei |
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| Institution: | 1. Department of Mathematics, Xiamen University, Xiamen 361005, Fujian, China
2. Department of Mathematics, Beihang University, Beijing 100083, China |
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| Abstract: | This paper presents a geometric characterization of convex sets in locally convex spaces on which a strong optimization theorem of the Stegall-type holds, and gives Collier's theorem of w Asplund spaces a localized setting. |
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| Keywords: | Optimization Geometry of infinite dimensions Convexification of nonconvex function Convex function Differentiability Locally convex space |
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