On some properties of set-valued tensor complementarity problem
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arXiv
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| Main Authors: | , |
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| Format: | Preprint |
| Published: |
2023
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| _version_ | 1866907754258497536 |
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| author | Deb, R. Das, A. K. |
| author_facet | Deb, R. Das, A. K. |
| contents | In this paper, we introduce set-valued tensor complementarity problem where the elements of the involved tensors are defined based on a set-valued mapping. We study several properties of the solution set under the framework of set-valued mapping. We provide the necessary and sufficient conditions for the zero solution of a set-valued tensor complementarity problem. We introduce limit $R_0$-property for the set of tensors and establish a connection between limit $R_0$-property and the level boundedness of the merit function of the corresponding set-valued tensor complementarity problem. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2401_00191 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | On some properties of set-valued tensor complementarity problem Deb, R. Das, A. K. Optimization and Control 15A69 In this paper, we introduce set-valued tensor complementarity problem where the elements of the involved tensors are defined based on a set-valued mapping. We study several properties of the solution set under the framework of set-valued mapping. We provide the necessary and sufficient conditions for the zero solution of a set-valued tensor complementarity problem. We introduce limit $R_0$-property for the set of tensors and establish a connection between limit $R_0$-property and the level boundedness of the merit function of the corresponding set-valued tensor complementarity problem. |
| title | On some properties of set-valued tensor complementarity problem |
| topic | Optimization and Control 15A69 |
| url | https://arxiv.org/abs/2401.00191 |