On Hölder continuity of approximate solution maps to vector equilibrium problems

Authors : Lam Quoc ANH, Kien Trung NGUYEN, Tran Ngoc TAM

Pages : 1591-1607

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Publication Date : 0000-00-00

Article Type : Research Paper

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