Nonstandard Methods in Fixed Point Theory:
Saved in:
| Main Author: | |
|---|---|
| Format: | Electronic eBook |
| Language: | English |
| Published: |
New York, NY
Springer New York
1990
|
| Series: | Universitext
|
| Subjects: | |
| Online Access: | Volltext |
| Item Description: | A unified account of the major new developments inspired by Maurey's application of Banach space ultraproducts to the fixed point theory for non-expansive mappings is given in this text. The first third of the book is devoted to laying a careful foundation for the actual fixed point theoretic results which follow. Set theoretic and Banach space ultraproducts constructions are studied in detail in the second part of the book, while the remainder of the book gives an introduction to the classical fixed point theory in addition to a discussion of normal structure. This is the first book which studies classical fixed point theory for non-expansive maps in the view of non-standard methods |
| Physical Description: | 1 Online-Ressource (IX, 139p. 3 illus) |
| ISBN: | 9781461234449 9780387973647 |
| ISSN: | 0172-5939 |
| DOI: | 10.1007/978-1-4612-3444-9 |
Staff View
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Record in the Search Index
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| author | Aksoy, Asuman Güven |
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| dewey-full | 515 |
| dewey-hundreds | 500 - Natural sciences and mathematics |
| dewey-ones | 515 - Analysis |
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| dewey-search | 515 |
| dewey-sort | 3515 |
| dewey-tens | 510 - Mathematics |
| discipline | Mathematik |
| doi_str_mv | 10.1007/978-1-4612-3444-9 |
| format | Electronic eBook |
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| illustrated | Not Illustrated |
| indexdate | 2024-07-10T01:21:06Z |
| institution | BVB |
| isbn | 9781461234449 9780387973647 |
| issn | 0172-5939 |
| language | English |
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| physical | 1 Online-Ressource (IX, 139p. 3 illus) |
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| publishDate | 1990 |
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| publisher | Springer New York |
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| spelling | Aksoy, Asuman Güven Verfasser aut Nonstandard Methods in Fixed Point Theory by Asuman Güven Aksoy, Mohamed A. Khamsi New York, NY Springer New York 1990 1 Online-Ressource (IX, 139p. 3 illus) txt rdacontent c rdamedia cr rdacarrier Universitext 0172-5939 A unified account of the major new developments inspired by Maurey's application of Banach space ultraproducts to the fixed point theory for non-expansive mappings is given in this text. The first third of the book is devoted to laying a careful foundation for the actual fixed point theoretic results which follow. Set theoretic and Banach space ultraproducts constructions are studied in detail in the second part of the book, while the remainder of the book gives an introduction to the classical fixed point theory in addition to a discussion of normal structure. This is the first book which studies classical fixed point theory for non-expansive maps in the view of non-standard methods Mathematics Global analysis (Mathematics) Analysis Mathematik Ultraprodukt (DE-588)4127046-0 gnd rswk-swf Fixpunkttheorie (DE-588)4293945-8 gnd rswk-swf Fixpunktsatz (DE-588)4121275-7 gnd rswk-swf Banach-Raum (DE-588)4004402-6 gnd rswk-swf Nichtexpansive Abbildung (DE-588)4245092-5 gnd rswk-swf Nichtexpansive Abbildung (DE-588)4245092-5 s Fixpunktsatz (DE-588)4121275-7 s Banach-Raum (DE-588)4004402-6 s Ultraprodukt (DE-588)4127046-0 s 1\p DE-604 Fixpunkttheorie (DE-588)4293945-8 s 2\p DE-604 Khamsi, Mohamed A. Sonstige oth https://doi.org/10.1007/978-1-4612-3444-9 Verlag Volltext 1\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk 2\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk |
| spellingShingle | Aksoy, Asuman Güven Nonstandard Methods in Fixed Point Theory Mathematics Global analysis (Mathematics) Analysis Mathematik Ultraprodukt (DE-588)4127046-0 gnd Fixpunkttheorie (DE-588)4293945-8 gnd Fixpunktsatz (DE-588)4121275-7 gnd Banach-Raum (DE-588)4004402-6 gnd Nichtexpansive Abbildung (DE-588)4245092-5 gnd |
| subject_GND | (DE-588)4127046-0 (DE-588)4293945-8 (DE-588)4121275-7 (DE-588)4004402-6 (DE-588)4245092-5 |
| title | Nonstandard Methods in Fixed Point Theory |
| title_auth | Nonstandard Methods in Fixed Point Theory |
| title_exact_search | Nonstandard Methods in Fixed Point Theory |
| title_full | Nonstandard Methods in Fixed Point Theory by Asuman Güven Aksoy, Mohamed A. Khamsi |
| title_fullStr | Nonstandard Methods in Fixed Point Theory by Asuman Güven Aksoy, Mohamed A. Khamsi |
| title_full_unstemmed | Nonstandard Methods in Fixed Point Theory by Asuman Güven Aksoy, Mohamed A. Khamsi |
| title_short | Nonstandard Methods in Fixed Point Theory |
| title_sort | nonstandard methods in fixed point theory |
| topic | Mathematics Global analysis (Mathematics) Analysis Mathematik Ultraprodukt (DE-588)4127046-0 gnd Fixpunkttheorie (DE-588)4293945-8 gnd Fixpunktsatz (DE-588)4121275-7 gnd Banach-Raum (DE-588)4004402-6 gnd Nichtexpansive Abbildung (DE-588)4245092-5 gnd |
| topic_facet | Mathematics Global analysis (Mathematics) Analysis Mathematik Ultraprodukt Fixpunkttheorie Fixpunktsatz Banach-Raum Nichtexpansive Abbildung |
| url | https://doi.org/10.1007/978-1-4612-3444-9 |
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