Some fixed point theorems for pseudo ordered sets
In this paper, it is shown that for an isotone map \(f\) on a pseudo ordered set \(A\), the set of all fixed points of \(f\) inherits the properties of \(A\), namely, completeness, chain-completeness and weakly chain-completeness, as in the case of posets.
Gespeichert in:
| Datum: | 2018 |
|---|---|
| Hauptverfasser: | , |
| Format: | Artikel |
| Sprache: | English |
| Veröffentlicht: |
Lugansk National Taras Shevchenko University
2018
|
| Schlagworte: | |
| Online Zugang: | https://admjournal.luguniv.edu.ua/index.php/adm/article/view/657 |
| Tags: |
Tag hinzufügen
Keine Tags, Fügen Sie den ersten Tag hinzu!
|
| Назва журналу: | Algebra and Discrete Mathematics |
Institution
Algebra and Discrete Mathematics| id |
admjournalluguniveduua-article-657 |
|---|---|
| record_format |
ojs |
| spelling |
admjournalluguniveduua-article-6572018-04-04T09:21:34Z Some fixed point theorems for pseudo ordered sets Bhatta, S. Parameshwara George, Shiju pseudo ordered set, trellis, completeness, isotone map 06B05 In this paper, it is shown that for an isotone map \(f\) on a pseudo ordered set \(A\), the set of all fixed points of \(f\) inherits the properties of \(A\), namely, completeness, chain-completeness and weakly chain-completeness, as in the case of posets. Lugansk National Taras Shevchenko University 2018-04-04 Article Article Peer-reviewed Article application/pdf https://admjournal.luguniv.edu.ua/index.php/adm/article/view/657 Algebra and Discrete Mathematics; Vol 11, No 1 (2011) 2415-721X 1726-3255 en https://admjournal.luguniv.edu.ua/index.php/adm/article/view/657/191 Copyright (c) 2018 Algebra and Discrete Mathematics |
| institution |
Algebra and Discrete Mathematics |
| baseUrl_str |
|
| datestamp_date |
2018-04-04T09:21:34Z |
| collection |
OJS |
| language |
English |
| topic |
pseudo ordered set trellis completeness isotone map 06B05 |
| spellingShingle |
pseudo ordered set trellis completeness isotone map 06B05 Bhatta, S. Parameshwara George, Shiju Some fixed point theorems for pseudo ordered sets |
| topic_facet |
pseudo ordered set trellis completeness isotone map 06B05 |
| format |
Article |
| author |
Bhatta, S. Parameshwara George, Shiju |
| author_facet |
Bhatta, S. Parameshwara George, Shiju |
| author_sort |
Bhatta, S. Parameshwara |
| title |
Some fixed point theorems for pseudo ordered sets |
| title_short |
Some fixed point theorems for pseudo ordered sets |
| title_full |
Some fixed point theorems for pseudo ordered sets |
| title_fullStr |
Some fixed point theorems for pseudo ordered sets |
| title_full_unstemmed |
Some fixed point theorems for pseudo ordered sets |
| title_sort |
some fixed point theorems for pseudo ordered sets |
| description |
In this paper, it is shown that for an isotone map \(f\) on a pseudo ordered set \(A\), the set of all fixed points of \(f\) inherits the properties of \(A\), namely, completeness, chain-completeness and weakly chain-completeness, as in the case of posets. |
| publisher |
Lugansk National Taras Shevchenko University |
| publishDate |
2018 |
| url |
https://admjournal.luguniv.edu.ua/index.php/adm/article/view/657 |
| work_keys_str_mv |
AT bhattasparameshwara somefixedpointtheoremsforpseudoorderedsets AT georgeshiju somefixedpointtheoremsforpseudoorderedsets |
| first_indexed |
2025-12-02T15:36:33Z |
| last_indexed |
2025-12-02T15:36:33Z |
| _version_ |
1850411364669980672 |