关于向量值D-半预不变真拟凸映射的刻画

黄应全

doi:10.21656/1000-0887.380269

关于向量值D-半预不变真拟凸映射的刻画

doi: 10.21656/1000-0887.380269

黄应全

重庆工商大学数学与统计学院, 重庆 400067

基金项目: 国家自然科学基金(11471059；11626048；11701057)；重庆市基础科学与前沿技术研究计划(cstc2014jcyjA00033；cstc2015jcyjB00001；cstc2016jcyjA0178)；重庆市高校创新团队建设计划(CXTDX201601026)；重庆市教委科技计划(KJ1600613；KJ1400630)

详细信息

作者简介:
黄应全(1973—)，男，讲师，硕士(E-mail: huangyq1110@ctbu.edu.cn).

中图分类号: O221.6
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- 被引次数: 0
出版历程
- 收稿日期: 2017-10-11
- 修回日期: 2017-11-07
- 刊出日期: 2018-03-15

Characterizations of D-Properly Semi-Prequasi-Invex Mappings

HUANG Yingquan

College of Mathematics and Statistics, Chongqing Technology and Business University,Chongqing 400067, P.R.China

Funds: The National Natural Science Foundation of China(11471059；11626048；11701057)

摘要

摘要: 研究了D-半预不变真拟凸映射的性质.首先，举例验证了满足条件E的η是大量存在的.然后，说明了D-半预不变真拟凸映射的水平集是半不变凸集，并运用D-上半连续性、*-上半连续性和中间点的D-半预不变真拟凸性，给出了D-半预不变真拟凸映射的两个等价刻画.最后，在中间点D-严格半预不变真拟凸性条件下，建立了D-半严格半预不变真拟凸映射和D-严格半预不变真拟凸映射的等价关系.
- D-半预不变真拟凸映射 /
- 半不变凸集 /
- 条件E
Abstract: The properties of D-properly semi-prequasi-invex mappings were studied. Firstly, it was verified that the η values satisfying condition E exist massively. Secondly, the level set of theD-properly semi-prequasi-invex mapping was proved to be a semi-invex set, and two equivalent propositions of the D-properly semi-prequasi-invex mapping were given with D-upper semi-continuity, *-upper semi-continuity and intermediate-point D-properly semi-prequasi-invexity. Finally, the equivalent relation between the D-properly semi-strict semi-prequasi-invex mapping and the D-properly strict semi-prequasi-invex mapping was established under the condition of the intermediate-point D-properly strict semi-prequasi-invexity.
- D-properly semi-prequasi-invex mapping /
- semi-invex set /
- condition E

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参考文献(14)

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