| 广义弧连通K-凸映射 |
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| 引用本文： | 陈松清,黄龙光. 广义弧连通K-凸映射[J]. 集美大学学报(自然科学版), 2012, 0(2): 137-141 |
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| 作者姓名： | 陈松清 黄龙光 |
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| 作者单位： | 集美大学理学院 |
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| 基金项目： | 国家自然科学基金资助项目(11074099) |
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| 摘 要： | 在序拓扑向量空间中引入较锥凸映射更一般的若干弧连通锥凸映射概念,讨论它们之间的相互关系,给出连续映射成为弧连通锥弱凸映射的条件,得到弧连通锥凸映射的值域与锥水平集分别是锥凸集与弧连通集,证明了锥半连续的弧连通严格凸映射是弧连通锥凸映射.
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| 关 键 词： | 弧 闭凸尖锥 弧连通 K-凸映射 |
Generalized Arcwise Connected K-convex Mappings |
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| CHEN Song-qing,HUANG Long-guang. Generalized Arcwise Connected K-convex Mappings[J]. the Editorial Board of Jimei University(Natural Science), 2012, 0(2): 137-141 |
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| Authors: | CHEN Song-qing HUANG Long-guang |
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| Affiliation: | (School of Science,Jimei University,Xiamen 361021,China) |
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| Abstract: | Several kinds of arcwise connected cone-convex mappings which were more general than generalized cone convex mappings were introduced in ordered topological vector space.The interrelationships among them and some properties were presented.The condition in which continuous mapping became arcwise connected cone weak convex mapping was obtained.The range of arcwise connected cone-convex mapping and the cone level set were respectively cone convex and arcwise connected.The result was shown that cone semi-continuous arcwise connected strictly convex mapping was arcwise connected cone-convex mapping. |
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| Keywords: | arcwise closed convex cone arcwise connected K-convex mapping |
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