Acta mathematica scientia,Series A ›› 2011, Vol. 31 ›› Issue (6): 1637-1646.

• Articles • Previous Articles     Next Articles

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

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

CLC Number: 

  • 74G25
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