Extended Horizontal Tensor Complementarity Problems

Sonali Sharma () and Vellaichamy Vetrivel ()
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Sonali Sharma: IIT Madras
Vellaichamy Vetrivel: IIT Madras

Journal of Optimization Theory and Applications, 2025, vol. 207, issue 3, No 4, 24 pages

Abstract: Abstract In this paper, we study the nonemptiness, compactness, uniqueness, and finiteness of the solution set of a new type of nonlinear complementarity problem, namely the extended horizontal tensor complementarity problem (EHTCP). We introduce several classes of structured tensors and discuss the interconnections among these tensors. Consequently, we study the properties of the solution set of the EHTCP with the help of degree theory.

Keywords: The extended horizontal tensor complementarity problem; $$\mathbb {EHP}$$ EHP tensor; $$\mathbb {EHR}_{0}$$ EHR 0 tensor; Degree theory; Complementarity problem; 90C33; 90C30; 65H10 (search for similar items in EconPapers)
Date: 2025
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DOI: 10.1007/s10957-025-02803-4

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