Extended Horizontal Tensor Complementarity Problems

2025/04/10 by Sharma, Sonali, Vetrivel, V. · 1 citation
#65H10 #90C30 #90C33 #FOS: Mathematics #Optimization and Control (math.OC)

paper · doi:10.48550/arxiv.2504.07925

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.

Cited by

• On the Finiteness Property of the Polynomial Complementarity Problem

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