广西师范大学学报（自然科学版） ›› 2020, Vol. 38 ›› Issue (3): 52-58.doi: 10.16088/j.issn.1001-6600.2020.03.007

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非单调变分不等式问题的双投影算法研究

徐紫文   

  1. 四川师范大学数学科学学院,四川成都610068
  • 收稿日期:2019-01-11 出版日期:2020-05-25 发布日期:2020-06-11
  • 通讯作者: * 徐紫文(1994—),女,四川南充人,四川师范大学数学科学学院。E-mail:846830269@qq.com
  • 基金资助:
    国家自然科学基金(11871359)

New Double Projection Algorithms for Non-monotone Variational Inequality Problems

XU Ziwen   

  1. College of Mathematical Science, Sichuan Normal University, Chengdu Sichuan 610068, China
  • Received:2019-01-11 Online:2020-05-25 Published:2020-06-11

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摘要： 本文进一步研究Ye M L和He Y R提出的新双投影算法。仅在其对偶变分不等式解集非空的条件下,通过构造投影算子的一个新的投影区域,本文提出一种求解非单调变分不等式的改进的双投影算法,并证明了其全局收敛性。

关键词: 非单调变分不等式, 双投影算法, 对偶变分不等式, 超平面

Abstract: The projection algorithm proposed by Ye M L and He Y R is further studied in this paper. Under the condition that the solution of the dual variational inequality is non-empty, an improved double projection algorithm for solving the non-monotone variational inequality is proposed by constructing a new projection region of the projection operator, and its global convergence is proved.

Key words: non-monotone variational inequalities, double projection algorithm, dual variational inequality, hyperplane

中图分类号: 

  • O22
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