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Global Error Bound for the Vertical Tensor Complementarity Problem

Author

Listed:
  • Li-Ming Li

    (Yunnan Normal University
    Yunnan Normal University)

  • Shi-Liang Wu

    (Yunnan Normal University
    Yunnan Normal University)

  • Ping-Fan Dai

    (Hanshan Normal University)

Abstract

As a natural extension of the tensor complementarity problem, the vertical tensor complementarity problem $$\left( {\textrm{VTCP}}\right) $$ VTCP has important research value. In this paper, we get some properties of the solution of the VTCP. Furthermore, we focus on investigating the global error bound for the VTCP with the type $${\textrm{VP}}$$ VP tensor set. We define two positively homogeneous operators by the type $${\textrm{VP}}$$ VP tensor set and obtain two global error bounds of the VTCP through the positively homogeneous operators.

Suggested Citation

  • Li-Ming Li & Shi-Liang Wu & Ping-Fan Dai, 2024. "Global Error Bound for the Vertical Tensor Complementarity Problem," Journal of Optimization Theory and Applications, Springer, vol. 200(3), pages 1056-1077, March.
    • Handle: RePEc:spr:joptap:v:200:y:2024:i:3:d:10.1007_s10957-023-02358-2
    DOI: 10.1007/s10957-023-02358-2
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