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


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