Global Stability Results for the Weak Vector Variational Inequality

  • Authors:

  • Y. H. Cheng;D. L. Zhu

  • Affiliations:

  • School of Management, Fudan University, Shanghai Telecommunications Technological Research Institute, Shanghai, People's Republic of China 200433, 200122;School of Management, CRT, Fudan University, University of Montreal, Shanghai, People's Republic of China , Canada 200433

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

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Abstract

In this paper, we consider the global stability of solutions of a Weak Vector Variational Inequality in a finite-dimensional Euclidean space. Upper semi-continuity of the solution set mapping is established. And by a scalarization method, we derive a sufficient condition that guarantees the lower semi-continuity of the solution set mapping for the Weak Vector Variational Inequality