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The weighted vertical linear complementarity problem on Euclidean Jordan algebra

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  • Punit Kumar Yadav

    (Malaviya National Instiute of Technology)

  • Palpandi Karuppiah

    (National Instiute of Technology Calicut)

Abstract

In this article, we first introduce the weighted vertical linear complementarity problem (wVLCP) on a general Euclidean Jordan algebra, and we then study the boundedness and existence of solutions to the wVLCP by introducing the concept of $${\textbf{R}}'_0$$ R 0 ′ , $${\textbf{R}}'$$ R ′ and $${\mathbf {P'}}$$ P ′ -pair properties for a pair of linear transformations. Finally, we present a uniqueness result for wVLCP on the Euclidean space $$\mathbb {R}^n$$ R n .

Suggested Citation

  • Punit Kumar Yadav & Palpandi Karuppiah, 2025. "The weighted vertical linear complementarity problem on Euclidean Jordan algebra," OPSEARCH, Springer;Operational Research Society of India, vol. 62(4), pages 1721-1734, December.
    • Handle: RePEc:spr:opsear:v:62:y:2025:i:4:d:10.1007_s12597-024-00871-0
    DOI: 10.1007/s12597-024-00871-0
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