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On the Envelope of a Variational Inequality

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

Abstract

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.

Keywords

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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