On infinite-dimensional dissipative quadratic stochastic operators

Shahidi, Farruh (2013) On infinite-dimensional dissipative quadratic stochastic operators. Advances in Difference Equations , 272. pp. 1-13. ISSN 1687-1839

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Abstract

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.

Item Type:	Article (Journal)
Additional Information:	6574/33593
Uncontrolled Keywords:	dissipative quadratic stochastic operators; infinite-dimensional space; majorization; trajectory; ℓ1-convergence
Subjects:	Q Science > Q Science (General) > Q300 Cybernetics > Q350 Information theory Q Science > QA Mathematics > QA75 Electronic computers. Computer science T Technology > T Technology (General) > T55.4 Industrial engineering.Management engineering. > T58.5 Information technology
Kulliyyahs/Centres/Divisions/Institutes (Can select more than one option. Press CONTROL button):	Kulliyyah of Information and Communication Technology > Department of Computer Science Kulliyyah of Information and Communication Technology > Department of Computer Science
Depositing User:	Nur' Aini Abu Bakar
Date Deposited:	20 Dec 2013 12:27
Last Modified:	20 Dec 2013 13:12
URI:	http://irep.iium.edu.my/id/eprint/33593

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