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On Monotone and Strongly Monotone Vector Variational Inequalities

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Vector Variational Inequalities and Vector Equilibria

Part of the book series: Nonconvex Optimization and Its Applications ((NOIA,volume 38))

Abstract

By constructing an example we show that the solution sets of a strongly monotone vector variational inequality and of its relaxed inequality can be different from each other. A sufficient condition for the coincidence of these solution sets is given for general vector variational inequalities; connectedness and path-connectedness of the solution sets for some kinds of monotone problems in Hilbert spaces are studied in detail.

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Author information

Authors and Affiliations

  1. Hanoi Institute of Mathematics, National Centre for Natural Science and Technology, Hanoi, Vietnam

    Nguyen Dong Yen

  2. Department of Applied Mathematics, Pukyong National University, Pusan, Korea

    Gue Myung Lee

Authors
  1. Nguyen Dong Yen
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  2. Gue Myung Lee
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Editor information

Editors and Affiliations

  1. Department of Mathematics, University of Pisa, Pisa, Italy

    Franco Giannessi

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© 2000 Kluwer Academic Publishers

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Yen, N.D., Lee, G.M. (2000). On Monotone and Strongly Monotone Vector Variational Inequalities. In: Giannessi, F. (eds) Vector Variational Inequalities and Vector Equilibria. Nonconvex Optimization and Its Applications, vol 38. Springer, Boston, MA. https://doi.org/10.1007/978-1-4613-0299-5_28

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  • DOI: https://doi.org/10.1007/978-1-4613-0299-5_28

  • Publisher Name: Springer, Boston, MA

  • Print ISBN: 978-1-4613-7985-0

  • Online ISBN: 978-1-4613-0299-5

  • eBook Packages: Springer Book Archive

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