On infinite-dimensional dissipative quadratic stochastic operators

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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Bibliographic Details
Main Author: Shahidi, Farruh
Format: Article
Language:English
Published: Springer 2013
Subjects:
Q350 Information theory
QA75 Electronic computers. Computer science
T58.5 Information technology
Online Access:http://irep.iium.edu.my/33593/
http://irep.iium.edu.my/33593/
http://irep.iium.edu.my/33593/1/Farruh_Shahidi_On_infinite.pdf
id iium-33593
recordtype eprints
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
repository_type Digital Repository
institution_category Local University
institution International Islamic University Malaysia
building IIUM Repository
collection Online Access
language English
topic Q350 Information theory
QA75 Electronic computers. Computer science
T58.5 Information technology
spellingShingle Q350 Information theory
QA75 Electronic computers. Computer science
T58.5 Information technology
Shahidi, Farruh
On infinite-dimensional dissipative quadratic stochastic operators
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.
format Article
author Shahidi, Farruh
author_facet Shahidi, Farruh
author_sort Shahidi, Farruh
title On infinite-dimensional dissipative quadratic stochastic operators
title_short 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_sort on infinite-dimensional dissipative quadratic stochastic operators
publisher Springer
publishDate 2013
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
first_indexed 2023-09-18T20:48:34Z
last_indexed 2023-09-18T20:48:34Z
_version_ 1777409839909044224

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