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关于向量值D-半预不变真拟凸映射的刻画

黄应全

黄应全. 关于向量值D-半预不变真拟凸映射的刻画[J]. 应用数学和力学, 2018, 39(3): 364-370. doi: 10.21656/1000-0887.380269
引用本文: 黄应全. 关于向量值D-半预不变真拟凸映射的刻画[J]. 应用数学和力学, 2018, 39(3): 364-370. doi: 10.21656/1000-0887.380269
HUANG Yingquan. Characterizations of D-Properly Semi-Prequasi-Invex Mappings[J]. Applied Mathematics and Mechanics, 2018, 39(3): 364-370. doi: 10.21656/1000-0887.380269
Citation: HUANG Yingquan. Characterizations of D-Properly Semi-Prequasi-Invex Mappings[J]. Applied Mathematics and Mechanics, 2018, 39(3): 364-370. 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
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

Characterizations of D-Properly Semi-Prequasi-Invex Mappings

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

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