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| Main Author: | |
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| Format: | Preprint |
| Published: |
2025
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| Subjects: | |
| Online Access: | https://arxiv.org/abs/2512.05426 |
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| _version_ | 1866917127515013120 |
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| author | Stan, Andrei |
| author_facet | Stan, Andrei |
| contents | In this paper, we present two abstract methods for constructing a lower and an upper solution for a fixed point equation. The first method applies when the nonlinear operator is a composition of a linear and a nonlinear mapping, while the second method applies when the nonlinear operator satisfies an inequality of Harnack type. An application is provided for each method. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2512_05426 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Two abstract methods of lower and upper solutions with applications Stan, Andrei Functional Analysis In this paper, we present two abstract methods for constructing a lower and an upper solution for a fixed point equation. The first method applies when the nonlinear operator is a composition of a linear and a nonlinear mapping, while the second method applies when the nonlinear operator satisfies an inequality of Harnack type. An application is provided for each method. |
| title | Two abstract methods of lower and upper solutions with applications |
| topic | Functional Analysis |
| url | https://arxiv.org/abs/2512.05426 |