JOURNAL OF SHANDONG UNIVERSITY(NATURAL SCIENCE) ›› 2023, Vol. 58 ›› Issue (7): 121-126.doi: 10.6040/j.issn.1671-9352.0.2021.657

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Nonemptiness and boundedness of weakly efficient solution sets for vector mixed variational inequalities

Xiufeng YANG(),Jianghua FAN*()   

  1. College of Mathematics and Statistics, Guangxi Normal University, Guilin 541006, Guangxi, China
  • Received:2021-10-05 Online:2023-07-20 Published:2023-07-05
  • Contact: Jianghua FAN E-mail:2055756246@qq.com;jhfan@gxnu.edu.cn

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Abstract:

By using the necessary and sufficient conditions for the nonemptiness and boundedness of the set of solutions for mixed scalar variational inequalities, the Mosco convergence of convex functions sequences and the connectedness of dual cones, the necessary and sufficient conditions for the weakly efficient solution sets of mixed vector variational inequalities in reflexive Banach spaces to be a nonempty bounded set are obtained.

Key words: vector mixed variational inequality, nonemptiness and boundedness, C-F pseudomonotone, Mosco convergence

CLC Number: 

  • O224.1
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