The fixed point property for ordered sets
An ordered set P has the fixed point property iff every order-preserving self-map of P has a fixed point. This paper traces the chronological development of research on this property, including most recent developments and open questions.
Gespeichert in:
| Veröffentlicht in: | Arabian journal of mathematics 2012-12, Vol.1 (4), p.529-547 |
|---|---|
| 1. Verfasser: | |
| Format: | Artikel |
| Sprache: | eng |
| Schlagworte: | |
| Online-Zugang: | Volltext |
| Tags: |
Tag hinzufügen
Keine Tags, Fügen Sie den ersten Tag hinzu!
|
| container_end_page | 547 |
|---|---|
| container_issue | 4 |
| container_start_page | 529 |
| container_title | Arabian journal of mathematics |
| container_volume | 1 |
| creator | Schröder, Bernd S. W. |
| description | An ordered set
P
has the fixed point property iff every order-preserving self-map of
P
has a fixed point. This paper traces the chronological development of research on this property, including most recent developments and open questions. |
| doi_str_mv | 10.1007/s40065-012-0049-7 |
| format | Article |
| fullrecord | <record><control><sourceid>proquest_cross</sourceid><recordid>TN_cdi_proquest_journals_1652676502</recordid><sourceformat>XML</sourceformat><sourcesystem>PC</sourcesystem><sourcerecordid>3584945361</sourcerecordid><originalsourceid>FETCH-LOGICAL-c359t-81ddf8e21361039081e88eb1c00c0ba8ca0912f0eb33bf20c1cbd7759a177c623</originalsourceid><addsrcrecordid>eNp1kEFLxDAQhYMouKz7A7wVPHmIziRN0x5lUVdY8LKeQ5tOtIs2NemC--9NqYgXTzMw7715fIxdItwggL6NOUChOKDgAHnF9QlbCKwkV1Lh6e-ey3O2inEPAAhKaokLdr17o8x1X9Rmg-_6MRuCHyiMx8z5kPnQUkinSGO8YGeufo-0-plL9vJwv1tv-Pb58Wl9t-VWqmrkJbatK0mgLBBkBSVSWVKDFsBCU5e2hgqFA2qkbJwAi7ZptVZVjVrbQsglu5pzU5PPA8XR7P0h9OmlwUKJQhcKJhXOKht8jIGcGUL3UYejQTATFDNDMQmKmaAYnTxi9sSk7V8p_En-1_QNH7BiHQ</addsrcrecordid><sourcetype>Aggregation Database</sourcetype><iscdi>true</iscdi><recordtype>article</recordtype><pqid>1652676502</pqid></control><display><type>article</type><title>The fixed point property for ordered sets</title><source>DOAJ Directory of Open Access Journals</source><source>Springer Nature OA Free Journals</source><source>EZB-FREE-00999 freely available EZB journals</source><creator>Schröder, Bernd S. W.</creator><creatorcontrib>Schröder, Bernd S. W.</creatorcontrib><description>An ordered set
P
has the fixed point property iff every order-preserving self-map of
P
has a fixed point. This paper traces the chronological development of research on this property, including most recent developments and open questions.</description><identifier>ISSN: 2193-5343</identifier><identifier>ISSN: 2193-5351</identifier><identifier>EISSN: 2193-5351</identifier><identifier>DOI: 10.1007/s40065-012-0049-7</identifier><language>eng</language><publisher>Berlin/Heidelberg: Springer Berlin Heidelberg</publisher><subject>Mathematics ; Mathematics and Statistics ; Research Article</subject><ispartof>Arabian journal of mathematics, 2012-12, Vol.1 (4), p.529-547</ispartof><rights>The Author(s) 2012. This article is published under license to BioMed Central Ltd. This article is distributed under the terms of the Creative Commons Attribution License which permits any use, distribution, and reproduction in any medium, provided the original author(s) and the source are credited.</rights><rights>King Fahd University of Petroleum and Minerals 2012</rights><oa>free_for_read</oa><woscitedreferencessubscribed>false</woscitedreferencessubscribed><citedby>FETCH-LOGICAL-c359t-81ddf8e21361039081e88eb1c00c0ba8ca0912f0eb33bf20c1cbd7759a177c623</citedby><cites>FETCH-LOGICAL-c359t-81ddf8e21361039081e88eb1c00c0ba8ca0912f0eb33bf20c1cbd7759a177c623</cites></display><links><openurl>$$Topenurl_article</openurl><openurlfulltext>$$Topenurlfull_article</openurlfulltext><thumbnail>$$Tsyndetics_thumb_exl</thumbnail><linktopdf>$$Uhttps://link.springer.com/content/pdf/10.1007/s40065-012-0049-7$$EPDF$$P50$$Gspringer$$Hfree_for_read</linktopdf><linktohtml>$$Uhttps://doi.org/10.1007/s40065-012-0049-7$$EHTML$$P50$$Gspringer$$Hfree_for_read</linktohtml><link.rule.ids>314,780,784,864,27924,27925,41120,42189,51576</link.rule.ids></links><search><creatorcontrib>Schröder, Bernd S. W.</creatorcontrib><title>The fixed point property for ordered sets</title><title>Arabian journal of mathematics</title><addtitle>Arab. J. Math</addtitle><description>An ordered set
P
has the fixed point property iff every order-preserving self-map of
P
has a fixed point. This paper traces the chronological development of research on this property, including most recent developments and open questions.</description><subject>Mathematics</subject><subject>Mathematics and Statistics</subject><subject>Research Article</subject><issn>2193-5343</issn><issn>2193-5351</issn><issn>2193-5351</issn><fulltext>true</fulltext><rsrctype>article</rsrctype><creationdate>2012</creationdate><recordtype>article</recordtype><sourceid>C6C</sourceid><sourceid>ABUWG</sourceid><sourceid>AFKRA</sourceid><sourceid>AZQEC</sourceid><sourceid>BENPR</sourceid><sourceid>CCPQU</sourceid><sourceid>DWQXO</sourceid><recordid>eNp1kEFLxDAQhYMouKz7A7wVPHmIziRN0x5lUVdY8LKeQ5tOtIs2NemC--9NqYgXTzMw7715fIxdItwggL6NOUChOKDgAHnF9QlbCKwkV1Lh6e-ey3O2inEPAAhKaokLdr17o8x1X9Rmg-_6MRuCHyiMx8z5kPnQUkinSGO8YGeufo-0-plL9vJwv1tv-Pb58Wl9t-VWqmrkJbatK0mgLBBkBSVSWVKDFsBCU5e2hgqFA2qkbJwAi7ZptVZVjVrbQsglu5pzU5PPA8XR7P0h9OmlwUKJQhcKJhXOKht8jIGcGUL3UYejQTATFDNDMQmKmaAYnTxi9sSk7V8p_En-1_QNH7BiHQ</recordid><startdate>20121201</startdate><enddate>20121201</enddate><creator>Schröder, Bernd S. W.</creator><general>Springer Berlin Heidelberg</general><general>Springer Nature B.V</general><scope>C6C</scope><scope>AAYXX</scope><scope>CITATION</scope><scope>8FE</scope><scope>8FG</scope><scope>ABJCF</scope><scope>ABUWG</scope><scope>AFKRA</scope><scope>AZQEC</scope><scope>BENPR</scope><scope>BGLVJ</scope><scope>CCPQU</scope><scope>DWQXO</scope><scope>HCIFZ</scope><scope>L6V</scope><scope>M7S</scope><scope>PIMPY</scope><scope>PQEST</scope><scope>PQQKQ</scope><scope>PQUKI</scope><scope>PRINS</scope><scope>PTHSS</scope></search><sort><creationdate>20121201</creationdate><title>The fixed point property for ordered sets</title><author>Schröder, Bernd S. W.</author></sort><facets><frbrtype>5</frbrtype><frbrgroupid>cdi_FETCH-LOGICAL-c359t-81ddf8e21361039081e88eb1c00c0ba8ca0912f0eb33bf20c1cbd7759a177c623</frbrgroupid><rsrctype>articles</rsrctype><prefilter>articles</prefilter><language>eng</language><creationdate>2012</creationdate><topic>Mathematics</topic><topic>Mathematics and Statistics</topic><topic>Research Article</topic><toplevel>online_resources</toplevel><creatorcontrib>Schröder, Bernd S. W.</creatorcontrib><collection>Springer Nature OA Free Journals</collection><collection>CrossRef</collection><collection>ProQuest SciTech Collection</collection><collection>ProQuest Technology Collection</collection><collection>Materials Science & Engineering Collection</collection><collection>ProQuest Central (Alumni Edition)</collection><collection>ProQuest Central UK/Ireland</collection><collection>ProQuest Central Essentials</collection><collection>ProQuest Central</collection><collection>Technology Collection</collection><collection>ProQuest One Community College</collection><collection>ProQuest Central Korea</collection><collection>SciTech Premium Collection</collection><collection>ProQuest Engineering Collection</collection><collection>Engineering Database</collection><collection>Publicly Available Content Database</collection><collection>ProQuest One Academic Eastern Edition (DO NOT USE)</collection><collection>ProQuest One Academic</collection><collection>ProQuest One Academic UKI Edition</collection><collection>ProQuest Central China</collection><collection>Engineering Collection</collection><jtitle>Arabian journal of mathematics</jtitle></facets><delivery><delcategory>Remote Search Resource</delcategory><fulltext>fulltext</fulltext></delivery><addata><au>Schröder, Bernd S. W.</au><format>journal</format><genre>article</genre><ristype>JOUR</ristype><atitle>The fixed point property for ordered sets</atitle><jtitle>Arabian journal of mathematics</jtitle><stitle>Arab. J. Math</stitle><date>2012-12-01</date><risdate>2012</risdate><volume>1</volume><issue>4</issue><spage>529</spage><epage>547</epage><pages>529-547</pages><issn>2193-5343</issn><issn>2193-5351</issn><eissn>2193-5351</eissn><abstract>An ordered set
P
has the fixed point property iff every order-preserving self-map of
P
has a fixed point. This paper traces the chronological development of research on this property, including most recent developments and open questions.</abstract><cop>Berlin/Heidelberg</cop><pub>Springer Berlin Heidelberg</pub><doi>10.1007/s40065-012-0049-7</doi><tpages>19</tpages><oa>free_for_read</oa></addata></record> |
| fulltext | fulltext |
| identifier | ISSN: 2193-5343 |
| ispartof | Arabian journal of mathematics, 2012-12, Vol.1 (4), p.529-547 |
| issn | 2193-5343 2193-5351 2193-5351 |
| language | eng |
| recordid | cdi_proquest_journals_1652676502 |
| source | DOAJ Directory of Open Access Journals; Springer Nature OA Free Journals; EZB-FREE-00999 freely available EZB journals |
| subjects | Mathematics Mathematics and Statistics Research Article |
| title | The fixed point property for ordered sets |
| url | https://sfx.bib-bvb.de/sfx_tum?ctx_ver=Z39.88-2004&ctx_enc=info:ofi/enc:UTF-8&ctx_tim=2025-01-05T14%3A01%3A21IST&url_ver=Z39.88-2004&url_ctx_fmt=infofi/fmt:kev:mtx:ctx&rfr_id=info:sid/primo.exlibrisgroup.com:primo3-Article-proquest_cross&rft_val_fmt=info:ofi/fmt:kev:mtx:journal&rft.genre=article&rft.atitle=The%20fixed%20point%20property%20for%20ordered%20sets&rft.jtitle=Arabian%20journal%20of%20mathematics&rft.au=Schr%C3%B6der,%20Bernd%20S.%20W.&rft.date=2012-12-01&rft.volume=1&rft.issue=4&rft.spage=529&rft.epage=547&rft.pages=529-547&rft.issn=2193-5343&rft.eissn=2193-5351&rft_id=info:doi/10.1007/s40065-012-0049-7&rft_dat=%3Cproquest_cross%3E3584945361%3C/proquest_cross%3E%3Curl%3E%3C/url%3E&disable_directlink=true&sfx.directlink=off&sfx.report_link=0&rft_id=info:oai/&rft_pqid=1652676502&rft_id=info:pmid/&rfr_iscdi=true |