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基于改进集的带约束集值向量均衡问题的最优性条件

陈望 周志昂

陈望, 周志昂. 基于改进集的带约束集值向量均衡问题的最优性条件[J]. 应用数学和力学, 2018, 39(10): 1189-1197. doi: 10.21656/1000-0887.390104
引用本文: 陈望, 周志昂. 基于改进集的带约束集值向量均衡问题的最优性条件[J]. 应用数学和力学, 2018, 39(10): 1189-1197. doi: 10.21656/1000-0887.390104
CHEN Wang, ZHOU Zhiang. Optimality Conditions for Set-Valued Vector Equilibrium Problems With Constraints Involving Improvement Sets[J]. Applied Mathematics and Mechanics, 2018, 39(10): 1189-1197. doi: 10.21656/1000-0887.390104
Citation: CHEN Wang, ZHOU Zhiang. Optimality Conditions for Set-Valued Vector Equilibrium Problems With Constraints Involving Improvement Sets[J]. Applied Mathematics and Mechanics, 2018, 39(10): 1189-1197. doi: 10.21656/1000-0887.390104

基于改进集的带约束集值向量均衡问题的最优性条件

doi: 10.21656/1000-0887.390104
基金项目: 国家自然科学基金(11431004;11471291);重庆市前沿与应用基础研究计划项目(cstc2015jcyjA00050;cstc2017jcyjBX0055;cstc2015jcyjBX0113)
详细信息
    作者简介:

    陈望(1994—),男,硕士生(E-mail: wf835518304@163.com);周志昂(1972—),男,教授,博士(通讯作者. E-mail: zhi_ang@163.com).

  • 中图分类号: O221.6

Optimality Conditions for Set-Valued Vector Equilibrium Problems With Constraints Involving Improvement Sets

Funds: The National Natural Science Foundation of China(11431004;11471291)
  • 摘要: 在局部凸空间中,研究了带约束集值向量均衡问题的最优性条件.首先,利用改进集引进了带约束集值向量均衡问题的E-Henig真有效解和E-超有效解的概念.其次,在邻近E-次似凸的假设下,建立了带约束集值向量均衡问题的E-Henig真有效解的充分必要性条件.最后,在邻近E-次似凸的假设下,建立了带约束集值向量均衡问题的E-超有效解的必要性条件.
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出版历程
  • 收稿日期:  2018-04-02
  • 修回日期:  2018-04-09
  • 刊出日期:  2018-10-01

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