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向量D-η-E-半预不变凸映射与向量优化

彭再云 李科科 张石生

彭再云, 李科科, 张石生. 向量D-η-E-半预不变凸映射与向量优化[J]. 应用数学和力学, 2014, 35(9): 1020-1032. doi: 10.3879/j.issn.1000-0887.2014.09.008
引用本文: 彭再云, 李科科, 张石生. 向量D-η-E-半预不变凸映射与向量优化[J]. 应用数学和力学, 2014, 35(9): 1020-1032. doi: 10.3879/j.issn.1000-0887.2014.09.008
PENG Zai-yun, LI Ke-ke, ZHANG Shi-sheng. D-η-E-Semipreinvex Vector Mappings and Vector Optimization[J]. Applied Mathematics and Mechanics, 2014, 35(9): 1020-1032. doi: 10.3879/j.issn.1000-0887.2014.09.008
Citation: PENG Zai-yun, LI Ke-ke, ZHANG Shi-sheng. D-η-E-Semipreinvex Vector Mappings and Vector Optimization[J]. Applied Mathematics and Mechanics, 2014, 35(9): 1020-1032. doi: 10.3879/j.issn.1000-0887.2014.09.008

向量D-η-E-半预不变凸映射与向量优化

doi: 10.3879/j.issn.1000-0887.2014.09.008
基金项目: 国家自然科学基金(11301571; 11271389); 重庆市自然科学基金(CSTC2012jjA00016); 重庆市教委科技项目(KJ130428)
详细信息
    作者简介:

    彭再云(1980—),男,重庆人,副教授,博士(E-mail: pengzaiyun@126.com);张石生(1934—),男,云南曲靖人,教授(通讯作者. E-mail: changss@yahoo.cn).

  • 中图分类号: O221.1

D-η-E-Semipreinvex Vector Mappings and Vector Optimization

Funds: The National Natural Science Foundation of China(11301571; 11271389)
  • 摘要: 提出了一类新的向量值映射——D- η -E-半预不变凸映射, 它是E-预不变凸映射与D- η -半预不变凸映射的真推广.首先, 用例子说明了E-半不变凸集、D- η -E-半预不变凸映射的存在性;然后,给出了D- η -E-半预不变凸映射的判定定理, 并讨论了D- η -E-半预不变凸映射与D- η -E-严格/半严格半预不变凸映射的关系;最后,得到了D- η -E-半严格半预不变凸映射在隐约束优化问题中的一个重要应用,并举例验证了所得结果.
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出版历程
  • 收稿日期:  2014-04-05
  • 刊出日期:  2014-09-15

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