On uniqueness of fixed points of positive quadratic stochastic operators

Saburov, Mansoor (2015) On uniqueness of fixed points of positive quadratic stochastic operators. In: The 2nd International Conference on Mathematical Sciences & Computer Engineering, 5-6 Feb 2015, Langkawi, Kedah Darul Aman, Malaysia.

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Abstract

We know from the theory of Markov chains that any positive square stochastic matrix has a unique fixed point in the simplex and its trajectory starting from any initial point of the simplex converges to that unique fixed point. However, in general, the similar result for a positive cubic stochastic matrix does not hold true. We know that a cubic stochastic matrix is associated with a quadratic stochastic operator defined on the simplex. In this paper, we provide a uniqueness criterion for fixed points of positive quadratic stochastic operators defined on 2D simplex.

Item Type:	Conference or Workshop Item (UNSPECIFIED)
Additional Information:	6769/46251
Uncontrolled Keywords:	fixed points, positive quadratic stochastic operators
Subjects:	Q Science > QA Mathematics
Kulliyyahs/Centres/Divisions/Institutes (Can select more than one option. Press CONTROL button):	Kulliyyah of Science > Department of Computational and Theoretical Sciences
Depositing User:	Dr Mansoor Saburov
Date Deposited:	22 Dec 2015 15:55
Last Modified:	21 May 2018 13:35
URI:	http://irep.iium.edu.my/id/eprint/46251

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