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.
Збережено в:
| Дата: | 2011 |
|---|---|
| Автори: | , |
| Формат: | Стаття |
| Мова: | English |
| Опубліковано: |
Інститут прикладної математики і механіки НАН України
2011
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| Назва видання: | Algebra and Discrete Mathematics |
| Онлайн доступ: | http://dspace.nbuv.gov.ua/handle/123456789/154799 |
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| Назва журналу: | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| Цитувати: | 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. |
Репозитарії
Digital Library of Periodicals of National Academy of Sciences of Ukraine| id |
irk-123456789-154799 |
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| record_format |
dspace |
| spelling |
irk-123456789-1547992019-06-17T01:31:20Z Some fixed point theorems for pseudo ordered sets Parameshwara Bhatta, S. George, S. 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. 2011 Article 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 http://dspace.nbuv.gov.ua/handle/123456789/154799 en Algebra and Discrete Mathematics Інститут прикладної математики і механіки НАН України |
| institution |
Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| collection |
DSpace DC |
| language |
English |
| 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. |
| format |
Article |
| author |
Parameshwara Bhatta, S. George, S. |
| spellingShingle |
Parameshwara Bhatta, S. George, S. Some fixed point theorems for pseudo ordered sets Algebra and Discrete Mathematics |
| author_facet |
Parameshwara Bhatta, S. George, S. |
| author_sort |
Parameshwara Bhatta, S. |
| 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 |
| publisher |
Інститут прикладної математики і механіки НАН України |
| publishDate |
2011 |
| url |
http://dspace.nbuv.gov.ua/handle/123456789/154799 |
| 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. |
| series |
Algebra and Discrete Mathematics |
| work_keys_str_mv |
AT parameshwarabhattas somefixedpointtheoremsforpseudoorderedsets AT georges somefixedpointtheoremsforpseudoorderedsets |
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2023-05-20T17:45:21Z |
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2023-05-20T17:45:21Z |
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1796154011954446336 |