The weighted vertical linear complementarity problem on Euclidean Jordan algebra

Punit Kumar Yadav () and Palpandi Karuppiah ()
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Punit Kumar Yadav: Malaviya National Instiute of Technology
Palpandi Karuppiah: National Instiute of Technology Calicut

OPSEARCH, 2025, vol. 62, issue 4, No 2, 1734 pages

Abstract: 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 .

Keywords: Weighted vertical linear complementarity problem; Euclidean Jordan algebra; $${\textbf{R}} '_0$$ R 0 ′ -pair; $${\textbf{R}}'$$ R ′ -pair; $${\mathbf {P'}}$$ P ′ -pair; Degree theory; 90C30; 90C33; 15B99. (search for similar items in EconPapers)
Date: 2025
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DOI: 10.1007/s12597-024-00871-0

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