On orthogonality preserving cubic stochastic operator defined on 1-dimensional simplex

In this paper, we consider the cubic stochastic operator (CSO) defined on 1-dimensional simplex, S 1 . We provide a full description of orthogonal preserving (OP) cubic stochastic operators on the simplex. We provide full description of the fixed points subject to two different parameters for the...

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Bibliographic Details
Main Authors: Mukhamedov, Farrukh, Pah, Chin Hee, Rosli, Azizi
Format: Conference or Workshop Item
Language:English
English
Published: American Institute of Physics Inc. 2019
Subjects:
Online Access:http://irep.iium.edu.my/79648/13/79648_On%20orthogonality%20preserving%20cubic%20stochastic_conf..pdf
http://irep.iium.edu.my/79648/2/79648_On%20orthogonality%20preserving%20cubic_scopus.pdf
http://irep.iium.edu.my/79648/
https://aip.scitation.org/doi/abs/10.1063/1.5136362
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Institution: Universiti Islam Antarabangsa Malaysia
Language: English
English
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Summary:In this paper, we consider the cubic stochastic operator (CSO) defined on 1-dimensional simplex, S 1 . We provide a full description of orthogonal preserving (OP) cubic stochastic operators on the simplex. We provide full description of the fixed points subject to two different parameters for the Volterra OP CSO on the simplex. In the last section we describe the behaviour of the fixed points.