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Extended Vertical Stochastic $$\varvec{R}_{0}$$ R 0 -Tensor Complementarity Problem

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  • Shouqiang Du

    (Qingdao University)

  • Duan Song

    (Qingdao University)

  • Guangxuan Lin

    (Qingdao University)

  • Yimin Wei

    (Fudan University)

Abstract

The main objective of this paper is to introduce a kind of extended vertical stochastic $$R_0$$ R 0 -tensor complementarity problems. We consider the sample average approximation (SAA) method to solve this proposed problem and prove the boundedness of the solution set. Then, we use the unconstrained optimization method to solve the transformed extended vertical stochastic $$R_{0}$$ R 0 -tensor complementarity problem. Finally, numerical results are presented.

Suggested Citation

  • Shouqiang Du & Duan Song & Guangxuan Lin & Yimin Wei, 2025. "Extended Vertical Stochastic $$\varvec{R}_{0}$$ R 0 -Tensor Complementarity Problem," Journal of Optimization Theory and Applications, Springer, vol. 207(3), pages 1-22, December.
    • Handle: RePEc:spr:joptap:v:207:y:2025:i:3:d:10.1007_s10957-025-02811-4
    DOI: 10.1007/s10957-025-02811-4
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