On Hölder continuity of approximate solution maps to vector equilibrium problems

Authors

LAM QUOC ANH
KIEN TRUNG NGUYEN
TRAN NGOC TAM

DOI

10.3906/mat-1507-9

Abstract

In this article, we considerparametric vector equilibrium problems in normed spaces. Sufficientconditions for Hölder continuity of approximate solution mappingswhere they are set-valued are established. As applications of theseresults, the Hölder continuity of the approximate solutionmappings for vector optimization problems and vector variationalinequalities are derived at the end of the paper. Our results arenew and include the existing ones in the literature.

Keywords

Hölder continuity, approximate solutions, equilibrium problems, variational inequalities, optimization problems, fixed point problems

First Page

1591

Last Page

1607

Recommended Citation

ANH, LAM QUOC; NGUYEN, KIEN TRUNG; and TAM, TRAN NGOC (2017) "On Hölder continuity of approximate solution maps to vector equilibrium problems," Turkish Journal of Mathematics: Vol. 41: No. 6, Article 18. https://doi.org/10.3906/mat-1507-9
Available at: https://journals.tubitak.gov.tr/math/vol41/iss6/18