An infinite-dimensional Borsuk-Ulam-type generalization of the Leray-Schauder fixed-point theorem and some applications
A generalization of the classical Leray – Schauder fixed point theorem, based on the infinite-dimensional Borsuk – Ulam type antipode construction, is proposed. A new nonstandard proof of the classical Leray – Schauder fixed point theorem and a study of the solution manifold to a nonlinear Hamilto...
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| Datum: | 2008 |
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| 1. Verfasser: | |
| Format: | Artikel |
| Sprache: | English |
| Veröffentlicht: |
Інститут математики НАН України
2008
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| Schriftenreihe: | Український математичний журнал |
| Schlagworte: | |
| Online Zugang: | http://dspace.nbuv.gov.ua/handle/123456789/164506 |
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| Назва журналу: | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| Zitieren: | An infinite-dimensional Borsuk-Ulam-type generalization of the Leray-Schauder fixed-point theorem and some applications / A.K. Prykarpatsky // Український математичний журнал. — 2008. — Т. 60, № 1. — С.100–106. — Бібліогр.: 28 назв. — англ. |
Institution
Digital Library of Periodicals of National Academy of Sciences of Ukraine| Zusammenfassung: | A generalization of the classical Leray – Schauder fixed point theorem, based on the infinite-dimensional
Borsuk – Ulam type antipode construction, is proposed. A new nonstandard proof of the classical Leray –
Schauder fixed point theorem and a study of the solution manifold to a nonlinear Hamilton – Jacobi type
equation are presented. |
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