Operations Research Transactions ›› 2021, Vol. 25 ›› Issue (1): 73-80.doi: 10.15960/j.cnki.issn.1007-6093.2021.01.006

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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

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

CLC Number: