3 papers
math.OC2026
On the Convexity of the Solution Set of Linear Complementarity Problem over Tensor Spaces
Sonali Sharma, V. Vetrivel, Jein-Shan Chen
This paper investigates the convexity of the solution set of the linear complementarity problems over tensor spaces (TLCPs). We introduce the notion of a -column sufficient tens…
math.OC2025
On the Finiteness Property of the Polynomial Complementarity Problem
Sonali Sharma, V. Vetrivel
This paper explores the finiteness of the solution set of the polynomial complementarity problem (PCP). To achieve this goal, we introduce two new classes of structured tensor tupl…
math.OC2025
Extended Horizontal Tensor Complementarity Problems
Sonali Sharma, V. Vetrivel
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 horizo…