Hartman-Stampacchia theorem, Gale-Nikaido-Debreu lemma, and Brouwer and Kakutani fixed-point theorems
Fuente:
arXiv
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| Autori principali: | , , , |
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| Natura: | Preprint |
| Pubblicazione: |
2026
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| _version_ | 1866917387882725376 |
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| author | Gourdel, Pascal Van, Cuong Le Pham, Ngoc-Sang Viet, Cuong Tran |
| author_facet | Gourdel, Pascal Van, Cuong Le Pham, Ngoc-Sang Viet, Cuong Tran |
| contents | This paper uses the Hartman-Stampacchia theorems as the primary tool to prove the Gale-Nikaid{ô}-Debreu lemmas. It also establishes a cycle of equivalences among the Hartman-Stampacchia theorems, the Gale-Nikaid{ô}-Debreu lemmas, and Kakutani and Brouwer fixed-point theorems. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2604_05603 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | Hartman-Stampacchia theorem, Gale-Nikaido-Debreu lemma, and Brouwer and Kakutani fixed-point theorems Gourdel, Pascal Van, Cuong Le Pham, Ngoc-Sang Viet, Cuong Tran Functional Analysis This paper uses the Hartman-Stampacchia theorems as the primary tool to prove the Gale-Nikaid{ô}-Debreu lemmas. It also establishes a cycle of equivalences among the Hartman-Stampacchia theorems, the Gale-Nikaid{ô}-Debreu lemmas, and Kakutani and Brouwer fixed-point theorems. |
| title | Hartman-Stampacchia theorem, Gale-Nikaido-Debreu lemma, and Brouwer and Kakutani fixed-point theorems |
| topic | Functional Analysis |
| url | https://arxiv.org/abs/2604.05603 |