Quadratic Stochastic Sarymsakov Operators

Algebra, Analysis and Quantum Probability

Saburov, Mansoor^1

Department of Computational and Theoretical Sciences, Faculty of Science, International Islamic University Malaysia, P.O. Box, Pahang, Kuantan

25200, Malaysia^1

关键词: Contraction mappings;   

Others  :  https://iopscience.iop.org/article/10.1088/1742-6596/697/1/012015/pdf
DOI  :  10.1088/1742-6596/697/1/012015

来源: IOP

【 摘 要 】

In this paper, we introduce a new class of quadratic stochastic operators so-called Sarymsakov operators. We study the dynamics of such kind of operators. We establish regularity of each operator from this class. Note that there are some quadratic stochastic Sarymsakov operators which are not contraction mappings.