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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

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    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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