On the Hölder continuity of solutions to parametric multivalued vector equilibrium problems

Authors: Lâm Quốc Anh, Phan Quốc Khánh,

https://doi.org/10.1016/j.jmaa.2005.08.018

Publisher, magazine: ,

Publication year: 2006

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Abstract

We consider parametric multivalued vector equilibrium problems of both weak and strong types in metric linear spaces. Sufficient conditions for the local uniqueness and Hölder continuity of the solutions are established. As consequences some new results for variational inequalities are derived and compared with recent papers on the subject.

Tags: equilibrium problems; metric linear spaces; Hölder continuity; uniqueness of solutions; quasimonotonicity; Hölder-strong pseudomonotonicity