Hybrid Nehari-Schauder type fixed point results and applications
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arXiv
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| Main Authors: | , |
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| Format: | Preprint |
| Published: |
2025
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| Subjects: | |
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| _version_ | 1866918252703121408 |
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| author | Precup, Radu Stan, Andrei |
| author_facet | Precup, Radu Stan, Andrei |
| contents | This paper develops a fixed point version of the well-known Nehari manifold method from critical point theory. The main result is formulated for systems of operator equations, relying on the fixed point theorems of Schauder and Schaefer. The framework also allows for potential extensions combining our Nehari type approach with other fixed point principles. To demonstrate the applicability of the method, an example involving a system of nonlinear integral equations is provided. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2512_05054 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Hybrid Nehari-Schauder type fixed point results and applications Precup, Radu Stan, Andrei Functional Analysis This paper develops a fixed point version of the well-known Nehari manifold method from critical point theory. The main result is formulated for systems of operator equations, relying on the fixed point theorems of Schauder and Schaefer. The framework also allows for potential extensions combining our Nehari type approach with other fixed point principles. To demonstrate the applicability of the method, an example involving a system of nonlinear integral equations is provided. |
| title | Hybrid Nehari-Schauder type fixed point results and applications |
| topic | Functional Analysis |
| url | https://arxiv.org/abs/2512.05054 |