On homotopy of volterrian quadratic stochastic operators
In the present paper we introduce a notion of homotopy of two Volterra operators which is related to fixed points of such operators. We establish a criterion for determining when two Volterra operators are homotopic, and as a consequence we obtain that the corresponding tournaments of that operator...
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Natural Publishing
2010
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iium-15592013-01-02T05:51:50Z http://irep.iium.edu.my/1559/ On homotopy of volterrian quadratic stochastic operators Mukhamedov, Farrukh Saburov, Mansoor QA Mathematics In the present paper we introduce a notion of homotopy of two Volterra operators which is related to fixed points of such operators. We establish a criterion for determining when two Volterra operators are homotopic, and as a consequence we obtain that the corresponding tournaments of that operators are the same. This, due to [3], gives us a possibility to know some information about the trajectory of homotopic Volterra operators. Moreover, it is shown that any Volterra q.s.o. given on a face has at least two homotopic extension to the whole simplex. Natural Publishing 2010 Article PeerReviewed application/pdf en http://irep.iium.edu.my/1559/1/mfsb-amis%282010%29.pdf Mukhamedov, Farrukh and Saburov, Mansoor (2010) On homotopy of volterrian quadratic stochastic operators. Applied Mathematics & Information Sciences, 4 (1). pp. 47-67. ISSN 1935-0090 http://nsp.naturalspublishing.com/amis/vol41.htm |
| repository_type |
Digital Repository |
| institution_category |
Local University |
| institution |
International Islamic University Malaysia |
| building |
IIUM Repository |
| collection |
Online Access |
| language |
English |
| topic |
QA Mathematics |
| spellingShingle |
QA Mathematics Mukhamedov, Farrukh Saburov, Mansoor On homotopy of volterrian quadratic stochastic operators |
| description |
In the present paper we introduce a notion of homotopy of two Volterra operators which is related to fixed points of such operators. We establish a criterion for determining
when two Volterra operators are homotopic, and as a consequence we obtain that the corresponding tournaments of that operators are the same. This, due to [3], gives us a
possibility to know some information about the trajectory of homotopic Volterra operators. Moreover, it is shown that any Volterra q.s.o. given on a face has at least two
homotopic extension to the whole simplex. |
| format |
Article |
| author |
Mukhamedov, Farrukh Saburov, Mansoor |
| author_facet |
Mukhamedov, Farrukh Saburov, Mansoor |
| author_sort |
Mukhamedov, Farrukh |
| title |
On homotopy of volterrian quadratic stochastic operators |
| title_short |
On homotopy of volterrian quadratic stochastic operators |
| title_full |
On homotopy of volterrian quadratic stochastic operators |
| title_fullStr |
On homotopy of volterrian quadratic stochastic operators |
| title_full_unstemmed |
On homotopy of volterrian quadratic stochastic operators |
| title_sort |
on homotopy of volterrian quadratic stochastic operators |
| publisher |
Natural Publishing |
| publishDate |
2010 |
| url |
http://irep.iium.edu.my/1559/ http://irep.iium.edu.my/1559/ http://irep.iium.edu.my/1559/1/mfsb-amis%282010%29.pdf |
| first_indexed |
2023-09-18T20:08:56Z |
| last_indexed |
2023-09-18T20:08:56Z |
| _version_ |
1777407346451939328 |