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On Hölder continuity of solution maps to parametric vector Ky Fan inequalities. (English) Zbl 1486.49039

Summary: In this paper, we first introduce the notion of strong quasiconvexity of a vector-valued map. Then, this new condition is utilized to study the existence and stability of solutions to parametric vector Ky Fan inequalities. Namely, sufficient conditions for the nonemptiness of solutions and the Hölder continuity of solution maps to parametric vector Ky Fan inequalities are established. The results obtained in this paper are improvements of the previous ones. At the end of the paper, applications of the main results are presented.

MSC:

49K40 Sensitivity, stability, well-posedness
90C31 Sensitivity, stability, parametric optimization
91B50 General equilibrium theory
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