运筹学学报 ›› 2021, Vol. 25 ›› Issue (1): 73-80.doi: 10.15960/j.cnki.issn.1007-6093.2021.01.006

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对称向量拟均衡问题有效解的存在性

王秀玲1,(), 龚循华2   

  1. 1. 宿迁高等师范学校数学系, 江苏宿迁 223800
    2. 南昌大学数学系, 南昌 330031
  • 收稿日期:2019-02-19 出版日期:2021-03-15 发布日期:2021-03-05
  • 通讯作者: 王秀玲 E-mail:wang_xiuxiu@163.com
  • 作者简介:王秀玲 E-mail: wang_xiuxiu@163.com
  • 基金资助:
    国家自然科学基金(11061023)

An existence theorem for efficient solutions of symmetric vector quasi-equilibrium problems

Xiuling WANG1,(), Xunhua GONG2   

  1. 1. Department of Mathematics, Suqian Higher Normal School, Suqian 223800, Jiangsu, China
    2. Department of Mathematics, NanchangUniversity, Nanchang 330031, China
  • Received:2019-02-19 Online:2021-03-15 Published:2021-03-05
  • Contact: Xiuling WANG E-mail:wang_xiuxiu@163.com

摘要:

利用标量化方法建立对称向量拟均衡问题有效解的存在性定理。作为标量化方法的应用,利用这一方法得到向量变分不等式和拟向量变分不等式有效解的存在性定理。

关键词: 对称向量拟均衡问题, 向量变分不等式, 有效解, 存在性定理, 标量化, 自然拟锥凸性

Abstract:

In this paper, an existence theorem for efficient solutions of symmetric vector quasi-equilibrium problems is established by using a scalarization method. As applications of the scalarization method, we use the scalarization method to obtain existence theorems for efficient solutions of vector variational inequality and vector quasi-variational inequality.

Key words: symmetric vector quasi-equilibrium problems, vector variational equality, efficient solution, existence theorem, scalarization, natural quasi cone-convexity

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