On Hölder continuity of solution maps of parametric primal and dual Ky Fan inequalities

L. Anh (), P. Khanh () and T. Tam ()

TOP: An Official Journal of the Spanish Society of Statistics and Operations Research, 2015, vol. 23, issue 1, 167 pages

Abstract: We consider parametric primal and dual Ky Fan inequalities in metric linear spaces. Sufficient conditions for Hölder continuity of solutions are established. Many examples are provided to illustrate the essentialness of the imposed assumptions and advantages of the results over existing ones. As applications, we derive this Hölder continuity of solutions for constrained minimization and variational inequalities. Copyright Sociedad de Estadística e Investigación Operativa 2015

Keywords: Hölder continuity; Parametric Ky Fan inequalities; Parametric dual Ky Fan inequalities; Strong convexity; Constrained minimization; Variational inequalities; 49K40; 90C31; 91B50 (search for similar items in EconPapers)
Date: 2015
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DOI: 10.1007/s11750-014-0332-1

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