A note on a fixed point theorem on topological cylinders
Abstract We present a fixed point theorem on topological cylinders in normed linear spaces for maps satisfying a property of stretching a space along paths. This result is a generalization of a similar theorem obtained by D. Papini and F. Zanolin. In view of the main result, we discuss the existence...
Ausführliche Beschreibung
Gespeichert in:
| Autor*in: |
Feltrin, Guglielmo [verfasserIn] |
|---|
| Format: |
Artikel |
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| Sprache: |
Englisch |
| Erschienen: |
2016 |
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| Schlagwörter: |
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| Anmerkung: |
© Fondazione Annali di Matematica Pura ed Applicata and Springer-Verlag Berlin Heidelberg 2016 |
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| Übergeordnetes Werk: |
Enthalten in: Annali di matematica pura ed applicata - Springer Berlin Heidelberg, 1858, 196(2016), 4 vom: 21. Nov., Seite 1441-1458 |
|---|---|
| Übergeordnetes Werk: |
volume:196 ; year:2016 ; number:4 ; day:21 ; month:11 ; pages:1441-1458 |
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| DOI / URN: |
10.1007/s10231-016-0623-2 |
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10.1007/s10231-016-0623-2 doi (DE-627)OLC205885991X (DE-He213)s10231-016-0623-2-p DE-627 ger DE-627 rakwb eng 510 VZ 17,1 ssgn Feltrin, Guglielmo verfasserin aut A note on a fixed point theorem on topological cylinders 2016 Text txt rdacontent ohne Hilfsmittel zu benutzen n rdamedia Band nc rdacarrier © Fondazione Annali di Matematica Pura ed Applicata and Springer-Verlag Berlin Heidelberg 2016 Abstract We present a fixed point theorem on topological cylinders in normed linear spaces for maps satisfying a property of stretching a space along paths. This result is a generalization of a similar theorem obtained by D. Papini and F. Zanolin. In view of the main result, we discuss the existence of fixed points for maps defined on different types of domains and we propose alternative proofs for classical fixed point theorems, as Brouwer, Schauder and Krasnosel’skiĭ ones. Fixed point theorems Fixed point index Brouwer fixed point theorem Schauder fixed point theorem Krasnosel’skiĭ fixed point theorem in cones Enthalten in Annali di matematica pura ed applicata Springer Berlin Heidelberg, 1858 196(2016), 4 vom: 21. Nov., Seite 1441-1458 (DE-627)129514764 (DE-600)210986-4 (DE-576)014924102 0373-3114 nnns volume:196 year:2016 number:4 day:21 month:11 pages:1441-1458 https://doi.org/10.1007/s10231-016-0623-2 lizenzpflichtig Volltext GBV_USEFLAG_A SYSFLAG_A GBV_OLC SSG-OLC-MAT SSG-OPC-MAT GBV_ILN_70 GBV_ILN_2007 GBV_ILN_2010 GBV_ILN_2018 GBV_ILN_2088 GBV_ILN_4027 GBV_ILN_4126 GBV_ILN_4193 GBV_ILN_4277 GBV_ILN_4323 AR 196 2016 4 21 11 1441-1458 |
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Abstract We present a fixed point theorem on topological cylinders in normed linear spaces for maps satisfying a property of stretching a space along paths. This result is a generalization of a similar theorem obtained by D. Papini and F. Zanolin. In view of the main result, we discuss the existence of fixed points for maps defined on different types of domains and we propose alternative proofs for classical fixed point theorems, as Brouwer, Schauder and Krasnosel’skiĭ ones. © Fondazione Annali di Matematica Pura ed Applicata and Springer-Verlag Berlin Heidelberg 2016 |
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Abstract We present a fixed point theorem on topological cylinders in normed linear spaces for maps satisfying a property of stretching a space along paths. This result is a generalization of a similar theorem obtained by D. Papini and F. Zanolin. In view of the main result, we discuss the existence of fixed points for maps defined on different types of domains and we propose alternative proofs for classical fixed point theorems, as Brouwer, Schauder and Krasnosel’skiĭ ones. © Fondazione Annali di Matematica Pura ed Applicata and Springer-Verlag Berlin Heidelberg 2016 |
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Abstract We present a fixed point theorem on topological cylinders in normed linear spaces for maps satisfying a property of stretching a space along paths. This result is a generalization of a similar theorem obtained by D. Papini and F. Zanolin. In view of the main result, we discuss the existence of fixed points for maps defined on different types of domains and we propose alternative proofs for classical fixed point theorems, as Brouwer, Schauder and Krasnosel’skiĭ ones. © Fondazione Annali di Matematica Pura ed Applicata and Springer-Verlag Berlin Heidelberg 2016 |
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A note on a fixed point theorem on topological cylinders |
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