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.
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| Veröffentlicht in: | Algebra and Discrete Mathematics |
|---|---|
| Datum: | 2011 |
| Hauptverfasser: | , |
| Format: | Artikel |
| Sprache: | Englisch |
| Veröffentlicht: |
Інститут прикладної математики і механіки НАН України
2011
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| Online Zugang: | https://nasplib.isofts.kiev.ua/handle/123456789/154799 |
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| Назва журналу: | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| Zitieren: | Some fixed point theorems for pseudo ordered sets / S. Parameshwara Bhatta, S. George // Algebra and Discrete Mathematics. — 2011. — Vol. 11, № 1. — С. 17–22. — Бібліогр.: 6 назв. — англ. |
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Digital Library of Periodicals of National Academy of Sciences of Ukraine| _version_ | 1862726255528378368 |
|---|---|
| author | Parameshwara Bhatta, S. George, S. |
| author_facet | Parameshwara Bhatta, S. George, S. |
| citation_txt | Some fixed point theorems for pseudo ordered sets / S. Parameshwara Bhatta, S. George // Algebra and Discrete Mathematics. — 2011. — Vol. 11, № 1. — С. 17–22. — Бібліогр.: 6 назв. — англ. |
| collection | DSpace DC |
| container_title | Algebra and Discrete Mathematics |
| 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.
|
| first_indexed | 2025-12-07T18:56:33Z |
| format | Article |
| fulltext | |
| id | nasplib_isofts_kiev_ua-123456789-154799 |
| institution | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| issn | 1726-3255 |
| language | English |
| last_indexed | 2025-12-07T18:56:33Z |
| publishDate | 2011 |
| publisher | Інститут прикладної математики і механіки НАН України |
| record_format | dspace |
| spelling | Parameshwara Bhatta, S. George, S. 2019-06-16T05:23:50Z 2019-06-16T05:23:50Z 2011 Some fixed point theorems for pseudo ordered sets / S. Parameshwara Bhatta, S. George // Algebra and Discrete Mathematics. — 2011. — Vol. 11, № 1. — С. 17–22. — Бібліогр.: 6 назв. — англ. 1726-3255 2000 Mathematics Subject Classification:06B05 https://nasplib.isofts.kiev.ua/handle/123456789/154799 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. The second author gratefully acknowledges the financial assistance by
 CSIR, New Delhi, INDIA, under the Research Fellowship Scheme. en Інститут прикладної математики і механіки НАН України Algebra and Discrete Mathematics Some fixed point theorems for pseudo ordered sets Article published earlier |
| spellingShingle | Some fixed point theorems for pseudo ordered sets Parameshwara Bhatta, S. George, S. |
| title | 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_short | Some fixed point theorems for pseudo ordered sets |
| title_sort | some fixed point theorems for pseudo ordered sets |
| url | https://nasplib.isofts.kiev.ua/handle/123456789/154799 |
| work_keys_str_mv | AT parameshwarabhattas somefixedpointtheoremsforpseudoorderedsets AT georges somefixedpointtheoremsforpseudoorderedsets |