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Sensitivity for parametric vector equilibria. (English) Zbl 1149.90156
The authors consider a parametric vector equilibrium problem in topological vector spaces, or in metric spaces. They study the upper stability of the map of the solutions \(S=S(\lambda)\), providing results in the peculiar framework of generalized monotone functions. In the particular case of a single valued solution map, they provide conditions for the Hölder regularity of \(S\) in both cases when \(K\) is fixed and also when it depends on a parameter.

MSC:
90C31 Sensitivity, stability, parametric optimization
47N10 Applications of operator theory in optimization, convex analysis, mathematical programming, economics
54C60 Set-valued maps in general topology
90C29 Multi-objective and goal programming
90C47 Minimax problems in mathematical programming
91B50 General equilibrium theory
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