Applied Mathematics and Mechanics (English Edition) ›› 2005, Vol. 26 ›› Issue (5): 563-.

• Articles • 上一篇    下一篇

GENERALIZED VECTOR QUASI-EQUILIBRIUM PROBLEMS IN LOCALLY G-CONVEX SPACES

DING Xie-ping   

  1. College of Mathematics and Software Science, Sichuan Normal University, Chengdu 610066, P.R. China
  • 收稿日期:2003-06-30 修回日期:2005-01-18 出版日期:2005-05-03 发布日期:2005-05-03

GENERALIZED VECTOR QUASI-EQUILIBRIUM PROBLEMS IN LOCALLY G-CONVEX SPACES

DING Xie-ping   

  1. College of Mathematics and Software Science, Sichuan Normal University, Chengdu 610066, P.R. China
  • Received:2003-06-30 Revised:2005-01-18 Online:2005-05-03 Published:2005-05-03

摘要: Some classes of generalized vector quasi-equilibrium problems (in short, GVQEP) are introduced and studied in locally G-convex spaces which includes most of generalized vector equilibrium problems, generalized vector variational inequality problems, quasi-equilibrium problems and quasi-variational inequality problems as special cases. First, an equilibrium existence theorem for one person games is proved in locally G-convex spaces. As applications, some new existence theorems of solutions for the GVQEP are established in noncompact locally G-convex spaces. These results and argument methods are new and completely different from that in recent literature.

关键词: uncertain time-delay system, robust stability, stability degree

Abstract: Some classes of generalized vector quasi-equilibrium problems (in short, GVQEP) are introduced and studied in locally G-convex spaces which includes most of generalized vector equilibrium problems, generalized vector variational inequality problems, quasi-equilibrium problems and quasi-variational inequality problems as special cases. First, an equilibrium existence theorem for one person games is proved in locally G-convex spaces. As applications, some new existence theorems of solutions for the GVQEP are established in noncompact locally G-convex spaces. These results and argument methods are new and completely different from that in recent literature.

Key words: uncertain time-delay system, robust stability, stability degree

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