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Generalized Invex Monotonicity and Its Role in Solving Variational-Like Inequalities

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  • D. L. Zhu

    (Fudan University)

  • L. L. Zhu

    (Fudan University)

  • Q. Xu

    (Fudan University)

Abstract

The paper stresses the role of new classes of generalized invex monotonicity in the convergence of iterative schemes for solving a variational-like inequality problem on a closed convex set.

Suggested Citation

  • D. L. Zhu & L. L. Zhu & Q. Xu, 2008. "Generalized Invex Monotonicity and Its Role in Solving Variational-Like Inequalities," Journal of Optimization Theory and Applications, Springer, vol. 137(2), pages 453-464, May.
    • Handle: RePEc:spr:joptap:v:137:y:2008:i:2:d:10.1007_s10957-007-9328-4
    DOI: 10.1007/s10957-007-9328-4
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    References listed on IDEAS

    as
    1. D.L. Zhu, 2003. "Augmented Lagrangian Theory, Duality and Decomposition Methods for Variational Inequality Problems," Journal of Optimization Theory and Applications, Springer, vol. 117(1), pages 195-216, April.
    2. Y.P. Fang & N.J. Huang, 2003. "Variational-Like Inequalities with Generalized Monotone Mappings in Banach Spaces," Journal of Optimization Theory and Applications, Springer, vol. 118(2), pages 327-338, August.
    3. X.Q. Yang, 2003. "On the Gap Functions of Prevariational Inequalities," Journal of Optimization Theory and Applications, Springer, vol. 116(2), pages 437-452, February.
    4. H. Z. Luo & Z. K. Xu, 2004. "On Characterizations of Prequasi-Invex Functions," Journal of Optimization Theory and Applications, Springer, vol. 120(2), pages 429-439, February.
    5. X.M. Yang & X.Q. Yang & K.L. Teo, 2003. "Generalized Invexity and Generalized Invariant Monotonicity," Journal of Optimization Theory and Applications, Springer, vol. 117(3), pages 607-625, June.
    Full references (including those not matched with items on IDEAS)

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