Acta mathematica scientia,Series A ›› 2012, Vol. 32 ›› Issue (4): 633-643.

• Articles •     Next Articles

Levitin-Polyak Well-posedness of Generalized Mixed Variational Inequalities

 ZHU Li, XIA Fu-Quan   

  1. Department of Mathematics, Sichuan Normal University, Chengdu |610066
  • Received:2010-05-08 Revised:2011-10-29 Online:2012-08-25 Published:2012-08-25
  • Supported by:

    国家自然科学基金(10671135)和四川省科技厅应用基础项目(2010JY0121)资助

Abstract:

In this paper, we introduce the concepts of the Levitin-Polyak-α-approximating sequences and the  Levitin-Polyak-α-well-posedness to the generalized mixed variational inequalities. We also define the gap function of the generalized mixed variational inequalities and prove that the Levitin-Polyak well-posedness to the generalized mixed variational inequalities and the corresponding minimization problems are equivalent. After that, we investigate the Furi-Vignoli type metric characteristics of (generalized) Levitin-Polyak well-posedness to the generalized mixed variational inequalities.

Key words: Levitin-Polyak-α-well-posedness, The generalized mixed variational inequalities, Gap function, Minimization problems

CLC Number: 

  • 49J40
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