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On the Envelope of a Variational Inequality

In: Nonlinear Analysis and Variational Problems

Author

Listed:
  • F. Giannessi

    (University of Pisa)

  • A.A. Khan

    (School of Mathematical Sciences, Rochester Institute of Technology)

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.

Suggested Citation

  • F. Giannessi & A.A. Khan, 2010. "On the Envelope of a Variational Inequality," Springer Optimization and Its Applications, in: Panos M. Pardalos & Themistocles M. Rassias & Akhtar A. Khan (ed.), Nonlinear Analysis and Variational Problems, chapter 0, pages 285-293, Springer.
    • Handle: RePEc:spr:spochp:978-1-4419-0158-3_19
    DOI: 10.1007/978-1-4419-0158-3_19
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    Cited by:

    1. Akhtar A. Khan & Dumitru Motreanu, 2015. "Existence Theorems for Elliptic and Evolutionary Variational and Quasi-Variational Inequalities," Journal of Optimization Theory and Applications, Springer, vol. 167(3), pages 1136-1161, December.

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