Hölder continuity of solutions to parametric generalized vector quasiequilibrium problems (Q410155)

Summary: By using a linear scalarization method, we establish sufficient conditions for the Hölder continuity of the solution mappings to a parametric generalized vector quasiequilibrium problem with set-valued mappings. These results extend the recent ones in the literature, e.g., \textit{S. J. Li}, \textit{X. B. Li}, and \textit{K. L. Teo} [``The Hölder continuity of solutions to generalized vector equilibrium problems'', Eur. J. Oper. Res., vol. 199, no. 2, pp. 334--338, (2009; Zbl 1176.90643)], \textit{S. J. Li} and \textit{X. B. Li} [``Hölder continuity of solutions to parametric weak generalized Ky Fan inequality'', J. Optim. Theory Appl., vol. 149, no. 3, pp. 540--553 (2011)]. Furthermore, two examples are given to illustrate the obtained result.