Article

Journal of Global Optimization

, Volume 32, Issue 4, pp 543-550

First online:

Global Stability Results for the Weak Vector Variational Inequality

  • Y. H. ChengAffiliated withSchool of Management, Fudan University, Shanghai Telecommunications Technological Research Institute
  • , D. L. ZhuAffiliated withSchool of Management, CRT, Fudan University, University of Montreal Email author 

Rent the article at a discount

Rent now

* Final gross prices may vary according to local VAT.

Get Access

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

Keywords

Lower semi-continuity Stability Strictly pseudo-monotone function Upper semi-continuity Weak vector variational inequality