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Global stability results for the weak vector variational inequality. (English) Zbl 1097.49006

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:

49J40 Variational inequalities
47J20 Variational and other types of inequalities involving nonlinear operators (general)
90C31 Sensitivity, stability, parametric optimization
90C29 Multi-objective and goal programming
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References:

[12] Sawaragi Y., Nakayama H., Tanino T. (1985), Theory of Multiobjective Optimization, Academic Press, Inc. · Zbl 0566.90053
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