Upper Semicontinuity of the Solution set to Parametric Vector Quasivariational Inequalities

  • Authors:

  • Phan Quoc Khanh;Le Minh Luu

  • Affiliations:

  • Department of Mathematics International University, Vietnam National University, Hochiminh City, Vietnam;Department of Mathematics, University of Dalat, Dalat, Vietnam

  • Venue:
  • Journal of Global Optimization
  • Year:
  • 2005

Quantified Score

Hi-index 0.00

Visualization

Abstract

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