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Zbl 1097.49006
Cheng, Y.H.; Zhu, D.L.
Global stability results for the weak vector variational inequality. (English)
[J] J. Glob. Optim. 32, No. 4, 543-550 (2005). ISSN 0925-5001; ISSN 1573-2916/e

Summary: 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

MSC 2000:: *49J40 Variational methods including variational inequalities
47J20 Inequalities involving nonlinear operators
90C31 Sensitivity, etc.
90C29 Multi-objective programming, etc.

Keywords: lower semi-continuity; stability; strictly pseudo-monotone function; upper semi-continuity; weak vector variational inequality

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