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Generalized Solutions of Multi-valued Monotone Quasi-variational Inequalities

In: Optimization and Optimal Control

Author

Listed:
  • Baasansuren Jadamba

    (Rochester Institute of Technology)

  • Akhtar A. Khan

    (Rochester Institute of Technology)

  • Fabio Raciti

    (Universitàdi Catania)

  • Behzad Djafari Rouhani

    (University of Texas at El Paso)

Abstract

Summary An ill-posed quasi-variational inequality with multi-valued maps can be conveniently formulated as a parameter identification problem on the graph of a variational selection. Using elliptic regularization for parametric variational inequalities, it is possible to pose another parameter identification problem that gives a stable approximation procedure for the ill-posed problem. The results are quite general and are applicable to ill-posed variational inequalities, inverse problems, split-feasibility problem, among others.

Suggested Citation

  • Baasansuren Jadamba & Akhtar A. Khan & Fabio Raciti & Behzad Djafari Rouhani, 2010. "Generalized Solutions of Multi-valued Monotone Quasi-variational Inequalities," Springer Optimization and Its Applications, in: Altannar Chinchuluun & Panos M. Pardalos & Rentsen Enkhbat & Ider Tseveendorj (ed.), Optimization and Optimal Control, pages 227-240, Springer.
    • Handle: RePEc:spr:spochp:978-0-387-89496-6_12
    DOI: 10.1007/978-0-387-89496-6_12
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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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