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Well-posedness for Lexicographic Vector Equilibrium Problems

L. Q. Anh (quocanh***at***ctu.edu.vn)
T. Q. Duy (tqduy***at***ctec.edu.vn)
A. Y. Kruger (a.kruger***at***ballarat.edu.au)
N. H. Thao (nhthao***at***ctu.edu.vn)

Abstract: We consider lexicographic vector equilibrium problems in metric spaces. Sufficient conditions for a family of such problems to be (uniquely) well-posed at the reference point are established. As an application, we derive several results on well-posedness for a class of variational inequalities.

Keywords: lexicographic order, equilibrium problem, well-posedness

Category 1: Convex and Nonsmooth Optimization (Nonsmooth Optimization )

Category 2: Other Topics (Multi-Criteria Optimization )

Citation: Published in Constructive Nonsmooth Analysis and Related Topics (Vladimir Demyanov, Panos M. Pardalos, and Mikhail Batsyn, eds.) Springer Optimization and Its Applications, Vol. 87. Springer-Verlag, Berlin, 2014, 157-172

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Entry Submitted: 01/23/2013
Entry Accepted: 01/23/2013
Entry Last Modified: 01/01/2014

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