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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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