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<p>This paper studies the number of solutions and the lower bounds of the solution set for the extended vertical tensor complementarity problem (EVTCP). Specifically, an estimation of the number of solutions for the EVTCP is derived by leveraging an <i>SVND</i>-tensor set, while the analogous result for the tensor complementarity problem (TCP) is obtained through an <i>SND</i>-tensor. Subsequently, several lower bounds for the solutions of the EVTCP are investigated based on an <InlineEquation ID="IEq1"> <EquationSource Format="TEX">\(EVR_0\)</EquationSource> <EquationSource Format="MATHML"><math> <mrow> <mi>E</mi> <mi>V</mi> <msub> <mi>R</mi> <mn>0</mn> </msub> </mrow> </math></EquationSource> </InlineEquation>-tensor set.</p>

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Some Characteristics of the Solution for Extended Vertical Tensor Complementarity Problem

  • 期刊论文

  • 发表日期：

    2026年7月17日

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  • Zu-Feng Fu,
  • Hai-Ying Wang,
  • Shi-Liang Wu

摘要

This paper studies the number of solutions and the lower bounds of the solution set for the extended vertical tensor complementarity problem (EVTCP). Specifically, an estimation of the number of solutions for the EVTCP is derived by leveraging an SVND-tensor set, while the analogous result for the tensor complementarity problem (TCP) is obtained through an SND-tensor. Subsequently, several lower bounds for the solutions of the EVTCP are investigated based on an \(EVR_0\) E V R 0 -tensor set.