| 准半凸集及其性质 |
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| 引用本文： | 樊增平,苏雅拉图.准半凸集及其性质[J].内蒙古师范大学学报(自然科学版),2009,38(2). |
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| 作者姓名： | 樊增平 苏雅拉图 |
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| 作者单位： | 内蒙古师范大学,数学科学学院,内蒙古,呼和浩特,010022
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| 基金项目： | 内蒙古自治区自然科学基金 |
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| 摘 要： | 首先给出凸集与吸收集的一种推广定义,称之为准半凸集,在此基础上定义了局部准半凸空间;其次讨论了准半凸集与其他凸集推广定义的关系,以及准半凸集的充要条件;最后给出与准半凸集有关的运算性质及局部准半凸空间的一个充要条件.
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| 关 键 词： | 准半凸集 局部准半凸空间 凸集 吸收集 |
The Definition and Properties of Pre-semi-convex Sets |
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| FAN Zeng-ping,Suyalatu.The Definition and Properties of Pre-semi-convex Sets[J].Journal of Inner Mongolia Normal University(Natural Science Edition),2009,38(2). |
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| Authors: | FAN Zeng-ping Suyalatu |
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| Institution: | College of Mathematics Science;Inner Mongolia Normal University;Hohhot 010022;China |
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| Abstract: | In this paper we introduced the definitions of pre-semi-convex sets and locally pre-semi-convex space.The relations of pre-semi-convex sets and other convex sets definitions were discussed and the properties of pre-semi-convex sets were obtained.The necessary and sufficient conditions of locally pre-semi-convex space were also proved. |
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| Keywords: | pre-semi-convex sets locally pre-semi-convex space convex sets absorbing sets |
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