On the stability of generalized vector quasivariational inequality problems

  • Authors:

  • S. J. Li;G. Y. Chen;K. L. Teo

  • Affiliations:

  • Department of Applied Mathematics, Hong Kong Polytechnic University, Kowloon, Hong Kong;Professor, Institute of Systems Science, Chinese Academy of Sciences, Beijing, China;Chair Professor, Department of Applied Mathematics, Hong Kong Polytechnic University, Kowloon, Hong Kong

  • Venue:
  • Journal of Optimization Theory and Applications
  • Year:
  • 2002

Quantified Score

Hi-index 0.00

Visualization

Abstract

In this paper, we obtain some stability results for generalized vector quasivariational inequality problems. We prove that the solution set is a closed set and establish the upper semicontinuity property of the solution set for perturbed generalized vector quasivariational inequality problems. These results extend those obtained in Ref. 1. We obtain also the lower semicontinuity property of the solution set for perturbed classical variational inequalities. Several examples are given for the illustration of our results.