Description

• Title:
  On the well-posedness of differential mixed quasi-variational-inequalities
• Creator:
  Liu, Zhenhai;
  Motreanu, Dumitru;
  Zeng, Shengda
• Description:
  We discuss the well-posedness and the well-posedness in the generalized sense of differential mixed quasi-variational inequalities ((DMQVIs), for short) in Hilbert spaces. This gives us an outlook to the convergence analysis of approximating sequences of solutions for (DMQVIs). Using these concepts we point out the relation between metric characterizations and well-posedness of (DMQVIs). We also prove that the solution set of (DMQVIs) is compact, if problem (DMQVIs) is well-posed in the generalized sense.
• Object availability:
  free access
• Rights:
  Prawa autorskie (c) 2017 Topological Methods in Nonlinear Analysis
• Date:
  2017.10.28
• Type:
  info:eu-repo/semantics/article;
  info:eu-repo/semantics/publishedVersion;
  Recenzowany artykuł
• Language:
  English
• Source:
  Topological Methods in Nonlinear Analysis; Vol 51, No 1 (March 2018); 135 - 150;
  1230-3429
• Publisher:
  Nicolaus Copernicus University in Toruń
• Relation: https://apcz.umk.pl/TMNA/article/view/TMNA.2017.041/13236 ;https://apcz.umk.pl/TMNA/article/view/TMNA.2017.041/13237
• Subject:
  Differential mixed quasi-variational inequalities;
  well-posedness;
  approximating sequence;
  relaxed $\alpha$-monotonicity;
  47H04;
  49J53;
  90C31
• Identifier: https://apcz.umk.pl/TMNA/article/view/TMNA.2017.041
• Data provider:
  Akademicka Platforma Czasopism
• Can I use it?:
  seek permission
• Type:
  other