数学物理学报 ›› 2011, Vol. 31 ›› Issue (6): 1637-1646.

• 论文 • 上一篇    下一篇

广义向量混合拟平衡系统的间隙函数和解的存在性

谢静1,2|何中全1   

  1. 1.西华师范大学 数学与信息学院 |四川南充 637002|
    2.连云港海州高级中学 |江苏连云港 222023
  • 收稿日期:2009-10-08 修回日期:2011-04-06 出版日期:2011-12-25 发布日期:2011-12-25
  • 基金资助:

    四川省教育厅项目(08ZA159)资助

Gap Functions and Existence of Solutions to System of Generalized Vector Mixed Quasi-Equilibrium Problems

 XIE Jing1,2, HE Zhong-Quan1   

  1. 1.School of Mathematics and Information, China West Normal University, Sichuan Nanchong  637002;
    2.Lianyungang Haizhou High School, Jiangsu Lianyungang 222023
  • Received:2009-10-08 Revised:2011-04-06 Online:2011-12-25 Published:2011-12-25
  • Supported by:

    四川省教育厅项目(08ZA159)资助

摘要:

该文引入了四类多值广义向量混合拟平衡系统, 研究了这些系统解的存在性. 借助非线性标量函数, 得到了这类系统的间隙函数.

关键词: 广义向量混合拟平衡系统, 非线性标量函数, 间隙函数

Abstract:

In this paper, we introduce four new types of the system of generalized vector mixed quasi-equilibrium problems with set-valued maps and establish their existence theorems. Then, by virtue of a nonlinear scalarization function, the gap functions for these problems are obtained.

Key words: System of generalized vector mixed quasi-equilibrium problems, Nonlinear scalarization function, Gap function

中图分类号: 

  • 74G25