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Zbl 1104.90041
Anh, L.Q.; Khanh, P.Q.
(Lam Quoc Anh; Phan Quoc Khanh)
On the Hölder continuity of solutions to parametric multivalued vector equilibrium problems. (English)
[J] J. Math. Anal. Appl. 321, No. 1, 308-315 (2006). ISSN 0022-247X

Summary: 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.
MSC 2000:
*90C27 Combinatorial programming
91A40 Game-theoretic models
90C31 Sensitivity, etc.

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

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