TY - GEN
T1 - On orthogonality preserving cubic stochastic operator defined on 1-dimensional simplex
AU - Mukhamedov, Farrukh
AU - Pah, Chin Hee
AU - Rosli, Azizi
N1 - Funding Information:
The third author is grateful to International Islamic University Malaysia (IIUM) Centre for Postgraduate Studies (CPS) for the financial support in his master study. The authors are grateful to the reviewers for their valuable comments.
Publisher Copyright:
© 2019 Author(s).
PY - 2019/12/4
Y1 - 2019/12/4
N2 - In this paper, we consider the cubic stochastic operator (CSO) defined on 1-dimensional simplex, S1. 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.
AB - In this paper, we consider the cubic stochastic operator (CSO) defined on 1-dimensional simplex, S1. 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.
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U2 - 10.1063/1.5136362
DO - 10.1063/1.5136362
M3 - Conference contribution
AN - SCOPUS:85076685857
T3 - AIP Conference Proceedings
BT - Proceedings of the International Conference on Mathematical Sciences and Technology 2018, MathTech 2018
A2 - Yatim, Yazariah Mohd
A2 - Ahmad, Syakila
A2 - Ismail, Mohd Tahir
A2 - Ali, Majid Khan Majahar
A2 - Rahman, Rosmanjawati Abdul
A2 - Sulaiman, Hajar
A2 - Ramli, Norshafira
A2 - Ahmad, Noor Atinah
A2 - Abdullah, Farah Aini
PB - American Institute of Physics Inc.
T2 - 1st International Conference on Mathematical Sciences and Technology 2018: Innovative Technologies for Mathematics and Mathematics for Technological Innovation, MathTech 2018
Y2 - 10 December 2018 through 12 December 2018
ER -