On infinite-dimensional dissipative quadratic stochastic operators
The purpose of the paper is to extend the notion of dissipativity of maps on infinite-dimensional simplex. We study the fixed points of dissipative quadratic stochastic operators on infinite-dimensional simplex. Besides, we study the limit behavior of the trajectories of such operators. We also show...
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| Format: | Article |
| Language: | English |
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Springer
2013
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| Online Access: | http://irep.iium.edu.my/33593/ http://irep.iium.edu.my/33593/1/Farruh_Shahidi_On_infinite.pdf |
| _version_ | 1848780775875411968 |
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| author | Shahidi, Farruh |
| author_facet | Shahidi, Farruh |
| author_sort | Shahidi, Farruh |
| building | IIUM Repository |
| collection | Online Access |
| description | The purpose of the paper is to extend the notion of dissipativity of maps on infinite-dimensional simplex. We study the fixed points of dissipative quadratic stochastic operators on infinite-dimensional simplex. Besides, we study the limit behavior of the trajectories of such operators. We also show the difference of dissipative operators defined on finite and infinite-dimensional spaces. We obtain the results by using majorization for infinite vectors and ℓ1 convergence. |
| first_indexed | 2025-11-14T15:39:02Z |
| format | Article |
| id | iium-33593 |
| institution | International Islamic University Malaysia |
| institution_category | Local University |
| language | English |
| last_indexed | 2025-11-14T15:39:02Z |
| publishDate | 2013 |
| publisher | Springer |
| recordtype | eprints |
| repository_type | Digital Repository |
| spelling | iium-335932013-12-20T05:12:58Z http://irep.iium.edu.my/33593/ On infinite-dimensional dissipative quadratic stochastic operators Shahidi, Farruh Q350 Information theory QA75 Electronic computers. Computer science T58.5 Information technology The purpose of the paper is to extend the notion of dissipativity of maps on infinite-dimensional simplex. We study the fixed points of dissipative quadratic stochastic operators on infinite-dimensional simplex. Besides, we study the limit behavior of the trajectories of such operators. We also show the difference of dissipative operators defined on finite and infinite-dimensional spaces. We obtain the results by using majorization for infinite vectors and ℓ1 convergence. Springer 2013-09 Article PeerReviewed application/pdf en http://irep.iium.edu.my/33593/1/Farruh_Shahidi_On_infinite.pdf Shahidi, Farruh (2013) On infinite-dimensional dissipative quadratic stochastic operators. Advances in Difference Equations , 272. pp. 1-13. ISSN 1687-1839 10.1186/1687-1847-2013-272 |
| spellingShingle | Q350 Information theory QA75 Electronic computers. Computer science T58.5 Information technology Shahidi, Farruh On infinite-dimensional dissipative quadratic stochastic operators |
| title | On infinite-dimensional dissipative quadratic stochastic operators |
| title_full | On infinite-dimensional dissipative quadratic stochastic operators |
| title_fullStr | On infinite-dimensional dissipative quadratic stochastic operators |
| title_full_unstemmed | On infinite-dimensional dissipative quadratic stochastic operators |
| title_short | On infinite-dimensional dissipative quadratic stochastic operators |
| title_sort | on infinite-dimensional dissipative quadratic stochastic operators |
| topic | Q350 Information theory QA75 Electronic computers. Computer science T58.5 Information technology |
| url | http://irep.iium.edu.my/33593/ http://irep.iium.edu.my/33593/ http://irep.iium.edu.my/33593/1/Farruh_Shahidi_On_infinite.pdf |