Extended Horizontal Tensor Complementarity Problems
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arXiv
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| Main Authors: | , |
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| Format: | Preprint |
| Published: |
2025
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| _version_ | 1866916683886624768 |
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| author | Sharma, Sonali Vetrivel, V. |
| author_facet | Sharma, Sonali Vetrivel, V. |
| contents | 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. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2504_07925 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Extended Horizontal Tensor Complementarity Problems Sharma, Sonali Vetrivel, V. Optimization and Control 90C33, 90C30, 65H10 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. |
| title | Extended Horizontal Tensor Complementarity Problems |
| topic | Optimization and Control 90C33, 90C30, 65H10 |
| url | https://arxiv.org/abs/2504.07925 |