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Local Uniqueness of Solutions of General Variational Inequalities

Author

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  • D.T. Luc

    (University of Avignon
    Institute of Mathematics)

  • M.A. Noor

    (Etisalat College of Engineering)

Abstract

We use the concept of Fréchet approximate Jacobian matrices to establish the local uniqueness of solutions to general variational inequalities which involve continuous, not necessarily locally Lipschitz continuous data.

Suggested Citation

  • D.T. Luc & M.A. Noor, 2003. "Local Uniqueness of Solutions of General Variational Inequalities," Journal of Optimization Theory and Applications, Springer, vol. 117(1), pages 103-119, April.
    • Handle: RePEc:spr:joptap:v:117:y:2003:i:1:d:10.1023_a:1023604523716
    DOI: 10.1023/A:1023604523716
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    References listed on IDEAS

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    1. V. Jeyakumar & D. T. Luc, 1999. "Nonsmooth Calculus, Minimality, and Monotonicity of Convexificators," Journal of Optimization Theory and Applications, Springer, vol. 101(3), pages 599-621, June.
    2. M.A. Tawhid, 2002. "On the Local Uniqueness of Solutions of Variational Inequalities Under H-Differentiability," Journal of Optimization Theory and Applications, Springer, vol. 113(1), pages 149-164, April.
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    Cited by:

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