Variational principles using a non-symmetric non-triangular distance
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arXiv
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| Main Authors: | , , |
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| Format: | Preprint |
| Published: |
2025
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| _version_ | 1866908342978347008 |
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| author | Boonyam, Natthaya Chaipunya, Parin Kumam, Poom |
| author_facet | Boonyam, Natthaya Chaipunya, Parin Kumam, Poom |
| contents | We consider Borwein-Preiss and Ekeland variational principles using distance functions that neither is symmetric nor enjoy the triangular inequality. All the given results rely exclusively on the convergence and continuity behaviors induced synthetically by the distance function itself without any topological implications. At the end of the paper, we also present two applications; the Caristi fixed point theorem and an existence theorem for equilibrium problems. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2504_20575 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Variational principles using a non-symmetric non-triangular distance Boonyam, Natthaya Chaipunya, Parin Kumam, Poom Functional Analysis Optimization and Control We consider Borwein-Preiss and Ekeland variational principles using distance functions that neither is symmetric nor enjoy the triangular inequality. All the given results rely exclusively on the convergence and continuity behaviors induced synthetically by the distance function itself without any topological implications. At the end of the paper, we also present two applications; the Caristi fixed point theorem and an existence theorem for equilibrium problems. |
| title | Variational principles using a non-symmetric non-triangular distance |
| topic | Functional Analysis Optimization and Control |
| url | https://arxiv.org/abs/2504.20575 |