数学物理学报(英文版)

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ON SOME FEASIBILITY CONDITIONS IN MPEC

周叔子; 白敏茹   

  1. 湖南大学数学与计量经济学院, 长沙 410082
  • 收稿日期:2005-11-22 修回日期:2006-07-10 出版日期:2008-04-20 发布日期:2008-04-20
  • 通讯作者: 白敏茹
  • 基金资助:

    The work is supported by the National Natural Science Foundation of China (70271019)

ON SOME FEASIBILITY CONDITIONS IN MPEC

Zhou Shuzi; Bai Minru   

  1. College of Mathematics and Econometrics, Hunan University, Hunan 410082, China
  • Received:2005-11-22 Revised:2006-07-10 Online:2008-04-20 Published:2008-04-20
  • Contact: Bai Minru

摘要:

This article discusses feasibility conditions in mathematical programs with equilibrium constraints (MPECs). The authors prove that two sufficient conditions guarantee the feasibility of these MPECs. The authors show that the two feasibility conditions are different from the feasibility condition in [2, 3], and show that the sufficient condition in [3] is stronger than that in [2].

关键词: Mathematical programs with equilibrium constraints, constraints,
feasibility,
complementarity problem, quadratic program

Abstract:

This article discusses feasibility conditions in mathematical programs with equilibrium constraints (MPECs). The authors prove that two sufficient conditions guarantee the feasibility of these MPECs. The authors show that the two feasibility conditions are different from the feasibility condition in [2, 3], and show that the sufficient condition in [3] is stronger than that in [2].

Key words: Mathematical programs with equilibrium constraints, constraints,
feasibility,
complementarity problem, quadratic program

中图分类号: 

  • 90C99