Quadratic stochastic operators on segment [0,1] and their limit behavior

In this paper, we construct some class of quadratic stochastic operator defined on continual state space [0, 1], and show that such operators are regular transformation.

Bibliographic Details
Main Authors: Ganikhodjaev, Nasir, Hamzah, Nur Zatul Akmar
Format: Article
Language:English
Published: Indian Society for Education and Environment & Informatics Publishing Limited 2015
Subjects:
Online Access:http://irep.iium.edu.my/49886/
http://irep.iium.edu.my/49886/
http://irep.iium.edu.my/49886/
http://irep.iium.edu.my/49886/1/Quadratic_Stochastic_Operators_on_Segment_%5B0%2C1%5D_and_Their__Limit_Behavior.pdf
Description
Summary:In this paper, we construct some class of quadratic stochastic operator defined on continual state space [0, 1], and show that such operators are regular transformation.