Journal of Global Optimization

, Volume 32, Issue 4, pp 569–580

Upper Semicontinuity of the Solution set to Parametric Vector Quasivariational Inequalities

  • Phan Quoc Khanh
  • Le Minh luu

DOI: 10.1007/s10898-004-2694-7

Cite this article as:
Khanh, P.Q. & luu, L.M. J Glob Optim (2005) 32: 569. doi:10.1007/s10898-004-2694-7


We prove the upper semicontinuity (in term of the closedness) of the solution set with respect to parameters of vector quasivariational inequalities involving multifunctions in topological vector spaces under the semicontinuity of the data, avoiding monotonicity assumptions. In particular, a new quasivariational inequality problem is proposed. Applications to quasi-complementarity problems are considered


ClosednessLower semicontinuityMultifunctionsQuasi-complementarity problemsTopological vector spacesUpper semicontinuityVector quasivariational inequalities

Copyright information

© Springer 2005

Authors and Affiliations

  • Phan Quoc Khanh
    • 1
  • Le Minh luu
    • 2
  1. 1.Department of Mathematics International UniversityVietnam National UniversityHochiminh CityVietnam
  2. 2.Department of MathematicsUniversity of DalatDalatVietnam