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Gap Functions and Global Error Bounds for Generalized Mixed Variational Inequalities on Hadamard Manifolds

Author

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  • Xiao-bo Li

    (Southwest Petroleum University)

  • Li-wen Zhou

    (Southwest Petroleum University)

  • Nan-jing Huang

    (Sichuan University)

Abstract

In this paper, a generalized mixed variational inequality on Hadamard manifolds is introduced and studied. Some gap functions for the generalized mixed variational inequality on Hadamard manifolds are obtained under suitable conditions. By using these gap functions, global error bounds for the generalized mixed variational inequality are derived on Hadamard manifolds. The main results presented in this paper generalize and improve corresponding known results.

Suggested Citation

  • Xiao-bo Li & Li-wen Zhou & Nan-jing Huang, 2016. "Gap Functions and Global Error Bounds for Generalized Mixed Variational Inequalities on Hadamard Manifolds," Journal of Optimization Theory and Applications, Springer, vol. 168(3), pages 830-849, March.
    • Handle: RePEc:spr:joptap:v:168:y:2016:i:3:d:10.1007_s10957-015-0834-5
    DOI: 10.1007/s10957-015-0834-5
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    References listed on IDEAS

    as
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    Cited by:

    1. Xiao-bo Li & Nan-jing Huang & Qamrul Hasan Ansari & Jen-Chih Yao, 2019. "Convergence Rate of Descent Method with New Inexact Line-Search on Riemannian Manifolds," Journal of Optimization Theory and Applications, Springer, vol. 180(3), pages 830-854, March.

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