数学物理学报(英文版) ›› 2016, Vol. 36 ›› Issue (6): 1619-1630.doi: 10.1016/S0252-9602(16)30094-7

• 论文 • 上一篇    下一篇

A PROJECTION-TYPE ALGORITHM FOR SOLVING GENERALIZED MIXED VARIATIONAL INEQUALITIES

涂凯1,2, 夏福全1   

  1. 1. Department of Mathematic, Sichuan Normal University, Chengdu 610068, China;
    2. College of Applied Sciences, Beijing University of Technology, Beijing 100124, China
  • 收稿日期:2015-07-16 修回日期:2016-03-22 出版日期:2016-12-25 发布日期:2016-12-25
  • 通讯作者: Kai TU,E-mail:kaitu_02@163.com E-mail:kaitu_02@163.com
  • 作者简介:Fuquan XIA,E-mail:fuquanxia@sina.com
  • 基金资助:

    This work was supported by the Scientific Research Foundation of Sichuan Normal University (20151602), National Natural Science Foundation of China (10671135, 61179033), and the Key Project of Chinese Ministry of Education (212147).

A PROJECTION-TYPE ALGORITHM FOR SOLVING GENERALIZED MIXED VARIATIONAL INEQUALITIES

Kai TU1,2, Fuquan XIA1   

  1. 1. Department of Mathematic, Sichuan Normal University, Chengdu 610068, China;
    2. College of Applied Sciences, Beijing University of Technology, Beijing 100124, China
  • Received:2015-07-16 Revised:2016-03-22 Online:2016-12-25 Published:2016-12-25
  • Contact: Kai TU,E-mail:kaitu_02@163.com E-mail:kaitu_02@163.com
  • Supported by:

    This work was supported by the Scientific Research Foundation of Sichuan Normal University (20151602), National Natural Science Foundation of China (10671135, 61179033), and the Key Project of Chinese Ministry of Education (212147).

摘要:

We propose a projection-type algorithm for generalized mixed variational inequality problem in Euclidean space Rn. We establish the convergence theorem for the proposed algorithm, provided the multi-valued mapping is continuous and f-pseudomonotone with nonempty compact convex values on dom(f), where f:Rn→R∪{+∞} is a proper function. The algorithm presented in this paper generalize and improve some known algorithms in literatures. Preliminary computational experience is also reported.

关键词: projection-type algorithm, generalized mixed variational inequality, f-pseudo-monotone mapping

Abstract:

We propose a projection-type algorithm for generalized mixed variational inequality problem in Euclidean space Rn. We establish the convergence theorem for the proposed algorithm, provided the multi-valued mapping is continuous and f-pseudomonotone with nonempty compact convex values on dom(f), where f:Rn→R∪{+∞} is a proper function. The algorithm presented in this paper generalize and improve some known algorithms in literatures. Preliminary computational experience is also reported.

Key words: projection-type algorithm, generalized mixed variational inequality, f-pseudo-monotone mapping

中图分类号: 

  • 90C25