R−Majorizing quadratic stochastic operators: Examples on 2D simplex
A vector majorization is a preorder of dispersion for vectors with the same length and same sum of components. The vector majorization can be viewed as a preorder of distance from a uniform vector. A preorder of distance from any fixed non-uniform vector of positive components, so-called r−majoriza...
| Main Authors: | , |
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| Format: | Article |
| Language: | English English |
| Published: |
Institute Mathematical Sciences, Universiti Putra Malaysia
2016
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| Online Access: | http://irep.iium.edu.my/51133/ http://irep.iium.edu.my/51133/ http://irep.iium.edu.my/51133/1/R-majorizing_QSO_---_MJMS.pdf http://irep.iium.edu.my/51133/4/51133_Majorizing%20quadratic%20stochastic_SCOPUS.pdf |
| Summary: | A vector majorization is a preorder of dispersion for vectors with the same length and same sum of components. The vector majorization can be viewed as a preorder of distance from a uniform vector. A preorder of distance
from any fixed non-uniform vector of positive components, so-called r−majorization, is a generalization of usual vector majorization. In this paper, a new class of mappings so-called r−majorizing quadratic stochastic
operators was introduced. The r−majorizing quadratic stochastic operator is a generalization of a quadratic doubly stochastic operator. Some relevant examples are provided. Moreover, the dynamics of some non-scrambling r−majorizing quadratic stochastic operators are studied. |
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