On Monotone and Strongly Monotone Vector Variational Inequalities

  • Nguyen Dong Yen
  • Gue Myung Lee
Part of the Nonconvex Optimization and Its Applications book series (NOIA, volume 38)


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.

Key Words

Vector variational inequality monotonicity strong monotonicity solution sets connectedness path-connectedness 


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Copyright information

© Kluwer Academic Publishers 2000

Authors and Affiliations

  • Nguyen Dong Yen
    • 1
  • Gue Myung Lee
    • 2
  1. 1.Hanoi Institute of MathematicsNational Centre for Natural Science and TechnologyHanoiVietnam
  2. 2.Department of Applied MathematicsPukyong National UniversityPusanKorea

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