On the Stability of Generalized Vector Quasivariational Inequality Problems

  • S.J. Li
  • G.Y. Chen
  • K.L. Teo
Article

DOI: 10.1023/A:1014830925232

Cite this article as:
Li, S., Chen, G. & Teo, K. Journal of Optimization Theory and Applications (2002) 113: 283. doi:10.1023/A:1014830925232

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.

Generalized vector quasivariational inequality problems classical variational inequality problems stability upper semicontinuity lower semicontinuity 

Copyright information

© Plenum Publishing Corporation 2002

Authors and Affiliations

  • S.J. Li
    • 1
  • G.Y. Chen
    • 3
  • K.L. Teo
    • 4
  1. 1.Department of Applied Mathematics, College of SciencesChongqing UniversityChongqingChina
  2. 2.Department of Applied MathematicsHong Kong Polytechnic UniversityKowloonHong Kong
  3. 3.Chinese Academy of SciencesInstitute of Systems ScienceBeijingChina
  4. 4.Department of Applied MathematicsHong Kong Polytechnic UniversityKowloonHong Kong

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