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Anh, L. Q.; Khanh, P. Q.

On the Hölder continuity of solutions to parametric multivalued vector equilibrium problems. (English) Zbl 1104.90041

J. Math. Anal. Appl. 321, No. 1, 308-315 (2006).
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.

Cited in 64 Documents

MSC:

90C27 Combinatorial optimization
91A40 Other game-theoretic models
90C31 Sensitivity, stability, parametric optimization

Keywords:

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

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