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

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 c...

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Bibliographic Details
Published inJournal of mathematical analysis and applications Vol. 321; no. 1; pp. 308 - 315
Main Authors Anh, L.Q., Khanh, P.Q.
Format Journal Article
LanguageEnglish
Published San Diego, CA Elsevier Inc 01.09.2006
Elsevier
Subjects
Calculus of variations and optimal control
Equilibrium problems
Exact sciences and technology
Functional analysis
Global analysis, analysis on manifolds
Hölder continuity
Hölder-strong pseudomonotonicity
Mathematical analysis
Mathematics
Metric linear spaces
Quasimonotonicity
Sciences and techniques of general use
Topology. Manifolds and cell complexes. Global analysis and analysis on manifolds
Uniqueness of solutions
Hölder-strong pseudomonotonicity
Hölder continuity
Quasimonotonicity
Equilibrium problems
Uniqueness of solutions
Metric linear spaces
Solution uniqueness
Metric space
Holder-strong pseudomonotonicity
Holder continuity
Sufficient condition
Equilibrium problem
Mathematical analysis
Variational inequality
Linear space
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ISSN0022-247X
1096-0813
DOI10.1016/j.jmaa.2005.08.018

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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.
ISSN:0022-247X
1096-0813
DOI:10.1016/j.jmaa.2005.08.018