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D-η-E-半预不变凸映射和D-η-E-半预不变真拟凸映射

王海英 符祖峰

王海英, 符祖峰. D-η-E-半预不变凸映射和D-η-E-半预不变真拟凸映射[J]. 应用数学和力学, 2019, 40(3): 343-354. doi: 10.21656/1000-0887.390143
引用本文: 王海英, 符祖峰. D-η-E-半预不变凸映射和D-η-E-半预不变真拟凸映射[J]. 应用数学和力学, 2019, 40(3): 343-354. doi: 10.21656/1000-0887.390143
WANG Haiying, FU Zufeng. D-η-E-Semi-Preinvex Mapping and D-η-E-Properly Semi-Prequasi-Invex Mapping[J]. Applied Mathematics and Mechanics, 2019, 40(3): 343-354. doi: 10.21656/1000-0887.390143
Citation: WANG Haiying, FU Zufeng. D-η-E-Semi-Preinvex Mapping and D-η-E-Properly Semi-Prequasi-Invex Mapping[J]. Applied Mathematics and Mechanics, 2019, 40(3): 343-354. doi: 10.21656/1000-0887.390143

D-η-E-半预不变凸映射和D-η-E-半预不变真拟凸映射

doi: 10.21656/1000-0887.390143
基金项目: 国家自然科学基金(61304146);贵州省科技厅、安顺市人民政府、安顺学院三方联合科技基金(LH[2017]7052)
详细信息
    作者简介:

    王海英(1982—),女,教授,硕士(通讯作者. Email: why8206@163.com).

  • 中图分类号: O211.6

D-η-E-Semi-Preinvex Mapping and D-η-E-Properly Semi-Prequasi-Invex Mapping

Funds: The National Natural Science Foundation of China(61304146)
  • 摘要: 研究了D-η-E-半预不变凸映射和D-η-E-半预不变真拟凸映射的一些性质.首先,讨论了D-η-E-半预不变凸与D-η-E-严格半预不变真拟凸、D-η-E-半严格半预不变真拟凸和D-η-E-半预不变真拟凸之间的关系,在中间点的D-η-E-半预不变凸性和其他一些条件下,得到了它的3个重要的性质定理;其次,对D-η-E-半预不变真拟凸与D-η-E-半严格半预不变真拟凸和D-η-E-严格半预不变真拟凸之间的关系也进行了讨论;最后,获得了D-η-E-半预不变真拟凸映射在优化中的一个重要应用.
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出版历程
  • 收稿日期:  2018-05-10
  • 修回日期:  2018-06-15
  • 刊出日期:  2019-03-01

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