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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

49J40Variational methods including variational inequalities
47J20Inequalities involving nonlinear operators
90C31Sensitivity, stability, parametric optimization
90C29Multi-objective programming; goal programming
Full Text: DOI
[2] · Zbl 0795.49010 · doi:10.1007/BF00940320
[3] · Zbl 0693.90091 · doi:10.1007/BF01415945
[4] · Zbl 0869.49005 · doi:10.1007/BF02190001
[5] · Zbl 0719.90078 · doi:10.1016/0022-247X(90)90223-3
[7] · Zbl 0887.49004 · doi:10.1017/S0004972700021882
[10] · Zbl 0142.38102 · doi:10.1007/BF02392210
[11] · Zbl 0956.49007 · doi:10.1016/S0362-546X(97)00578-6
[12] Sawaragi Y., Nakayama H., Tanino T. (1985), Theory of Multiobjective Optimization, Academic Press, Inc. · Zbl 0566.90053
[13] · Zbl 0797.90085 · doi:10.1007/BF00940559
[14] · Zbl 0837.65067 · doi:10.1007/BF02192574