The Horizontal Tensor Complementarity Problem

Punit Kumar Yadav; Sonali Sharma; K. Palpandi

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arXiv · 2312.01400

The Horizontal Tensor Complementarity Problem

Punit Kumar Yadav·Sonali Sharma·K. Palpandi

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Abstract

This article explores a new type of nonlinear complementarity problem, namely the horizontal tensor complementarity problem (HTCP), which is a natural extension of the horizontal linear complementarity problem studied in [12]. We extend the concepts of R_0, R, and P pairs from a pair of linear transformations given in [9] to a pair of tensors. When a given pair of tensors has these properties, we use degree-theoretic tools to discuss the existence and boundedness of solutions to the HTCP. Finally, we study an uniqueness result of the solution of the HTCP.

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BibTeX RIS

Punit Kumar Yadav, Sonali Sharma, K. Palpandi. 2023-12-03. The Horizontal Tensor Complementarity Problem. https://arxiv.org/abs/2312.01400

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