序空间中向量值映射极小元的存在性

doi:10.3969/j.issn.1007-7162.2015.04.022

广东工业大学学报 ›› 2015, Vol. 32 ›› Issue (04): 123-126.doi: 10.3969/j.issn.1007-7162.2015.04.022

序空间中向量值映射极小元的存在性

张秋园，龚丽燕

广东工业大学应用数学学院，广东广州 510520

收稿日期:2014-05-19 出版日期:2015-12-04 发布日期:2015-12-04
作者简介:张秋园（1989-）,女,硕士研究生,主要研究方向为非线性泛函分析.

On Existence of Minimal Elements of Vector-valued Functions in Ordered Space

Zhang Qiu-yuan, Gong Li-yan

School of Applied Mathematics, Guangdong University of Technology, Guangzhou 510520, China

Received:2014-05-19 Online:2015-12-04 Published:2015-12-04

摘要/Abstract

摘要： 在序空间中讨论了锥上方下半连续的向量值映射的极小元的存在性，得到了这类映射存在极小元和最小元的两个结果，并对H.W.Corley提出的锥半紧集，指出了锥半紧集不一定是闭集.

关键词: 向量值映射；锥；极小元；锥上方下半连续映射

Abstract: This article discusses the existence of minimal elements of cone lower semi-continuous mapping in ordered space. The researchers obtain two results on the existence of minimal elements and the smallest elements of such functions. It also points out that a cone-semicompact set raised by H.W.Corley is not a necessarily closed set.

Key words: vector-valued function; cone; minimal element; cone lower semi-continuous from above functions

张秋园, 龚丽燕. 序空间中向量值映射极小元的存在性[J]. 广东工业大学学报, 2015, 32(04): 123-126.

ZHANG Qiu-Yuan, GONG Li-Yan. On Existence of Minimal Elements of Vector-valued Functions in Ordered Space[J]. Journal of Guangdong University of Technology, 2015, 32(04): 123-126.

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On Existence of Minimal Elements of Vector-valued Functions in Ordered Space

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