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Extended vertical tensor complementarity problems with finite solution sets

Author

Listed:
  • Xue-liu Li

    (Guangxi University
    Guangxi Minzu University)

  • Yi-rong Jiang

    (Guangxi Minzu University)

  • Yuning Yang

    (Guangxi University)

  • Guo-ji Tang

    (Guangxi Minzu University)

Abstract

The main propose of the present paper is to investigate the finiteness property of the solution set for the extended vertical tensor complementarity problem (EVTCP). To this end, two classes of structured tensor tuples, that is, vertical non-degenerate (VND) tensor tuples and strong vertical non-degenerate (SVND) tensor tuples , are introduced. Furthermore, the relationship and some properties about them are discussed. Based on the structured tensor tuples, the finiteness property of the solution set of EVTCP is investigated. The results obtained in this paper are extensions of those proposed by Palpandi and Sharma (J Optim Theory Appl 190:951–965, 2021) from the tensor complementarity problem (TCP) to EVTCP.

Suggested Citation

  • Xue-liu Li & Yi-rong Jiang & Yuning Yang & Guo-ji Tang, 2025. "Extended vertical tensor complementarity problems with finite solution sets," Journal of Global Optimization, Springer, vol. 92(2), pages 431-452, June.
    • Handle: RePEc:spr:jglopt:v:92:y:2025:i:2:d:10.1007_s10898-025-01471-y
    DOI: 10.1007/s10898-025-01471-y
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    References listed on IDEAS

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    1. Lu-Bin Cui & Yu-Dong Fan & Yi-Sheng Song & Shi-Liang Wu, 2022. "The Existence and Uniqueness of Solution for Tensor Complementarity Problem and Related Systems," Journal of Optimization Theory and Applications, Springer, vol. 192(1), pages 321-334, January.
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