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Well-Posedness for Lexicographic Vector Equilibrium Problems

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Constructive Nonsmooth Analysis and Related Topics

Part of the book series: Springer Optimization and Its Applications ((SOIA,volume 87))

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.

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Author information

Authors and Affiliations

  1. Department of Mathematics, Teacher College, Cantho University, Cantho, Vietnam

    L. Q. Anh

  2. Department of Mathematics, Cantho Technical and Economic College, Cantho, Vietnam

    T. Q. Duy

  3. Centre for Informatics and Applied Optimization, School of Science, Information Technology and Engineering, University of Ballarat, Ballarat, Victoria, Australia

    A. Y. Kruger & N. H. Thao

Authors
  1. L. Q. Anh
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  2. T. Q. Duy
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  3. A. Y. Kruger
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  4. N. H. Thao
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Corresponding author

Correspondence to A. Y. Kruger .

Editor information

Editors and Affiliations

  1. Saint Petersburg State University, Saint Petersburg, Russia

    Vladimir F. Demyanov

  2. Department of Industrial & Systems Engin, University of Florida, Gainesville, Florida, USA

    Panos M. Pardalos

  3. Higher School of Economics, National Research University, Nizhny Novgorod, Russia

    Mikhail Batsyn

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Anh, L.Q., Duy, T.Q., Kruger, A.Y., Thao, N.H. (2014). Well-Posedness for Lexicographic Vector Equilibrium Problems. In: Demyanov, V., Pardalos, P., Batsyn, M. (eds) Constructive Nonsmooth Analysis and Related Topics. Springer Optimization and Its Applications, vol 87. Springer, New York, NY. https://doi.org/10.1007/978-1-4614-8615-2_10

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