On the Envelope of a Variational Inequality

  • F. Giannessi
  • A.A. Khan
Part of the Springer Optimization and Its Applications book series (SOIA, volume 35)


Recently, it has been shown that analyzing variational inequalities and their generalizations by means of a separation scheme leads to connection of different topics, such as regularization, penalization, duality, and so on. This has been done by introducing the definition of image of a variational and quasi-variational inequality, and then exploiting the separation approach. Here we extend the definition of image of a variational inequality and make some comments on further investigations.


Variational Inequality Equilibrium Problem Minimum Point Extremum Problem Image Space 
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Copyright information

© Springer Science+Business Media, LLC 2010

Authors and Affiliations

  • F. Giannessi
    • 1
  • A.A. Khan
    • 2
  1. 1.Department of Mathematics, Faculty of Natural SciencesUniversity of PisaPisaItaly
  2. 2.School of Mathematical Sciences, Rochester Institute of TechnologyRochesterUSA

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