Characterizations of Pseudolinear and Semi-strictly Quasilinear Functions
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arXiv
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| Format: | Preprint |
| Veröffentlicht: |
2025
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| _version_ | 1866915634286166016 |
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| author | Ivanov, Vsevolod I. |
| author_facet | Ivanov, Vsevolod I. |
| contents | In this paper we obtain several new complete characterizations of pseudolinear functions. Two of the results are of first-order and one is derivative free. All results are derived in terms of the Clarke-Rockafellar subdifferential. Additionally, we prove a characterization of the semi-strictly quasilinear functions. It is similar to the derivative free characterization of the pseudolinear functions. We also find the conditions such that a semi-strictly quasilinear function become pseudolinear. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2509_02497 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Characterizations of Pseudolinear and Semi-strictly Quasilinear Functions Ivanov, Vsevolod I. Optimization and Control 26B25, 49J52 In this paper we obtain several new complete characterizations of pseudolinear functions. Two of the results are of first-order and one is derivative free. All results are derived in terms of the Clarke-Rockafellar subdifferential. Additionally, we prove a characterization of the semi-strictly quasilinear functions. It is similar to the derivative free characterization of the pseudolinear functions. We also find the conditions such that a semi-strictly quasilinear function become pseudolinear. |
| title | Characterizations of Pseudolinear and Semi-strictly Quasilinear Functions |
| topic | Optimization and Control 26B25, 49J52 |
| url | https://arxiv.org/abs/2509.02497 |