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...
| Main Authors: | , |
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| Format: | Article |
| Language: | English |
| Published: |
Natural Publishing
2010
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| Online Access: | http://irep.iium.edu.my/1559/1/mfsb-amis%282010%29.pdf |
| _version_ | 1796874793305243648 |
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| author | Mukhamedov, Farrukh Saburov, Mansoor |
| author_facet | Mukhamedov, Farrukh Saburov, Mansoor |
| author_sort | Mukhamedov, Farrukh |
| collection | IIUM |
| 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. |
| first_indexed | 2024-03-05T22:29:32Z |
| format | Article |
| id | oai:generic.eprints.org:1559 |
| institution | International Islamic University Malaysia |
| language | English |
| last_indexed | 2024-03-05T22:29:32Z |
| publishDate | 2010 |
| publisher | Natural Publishing |
| record_format | dspace |
| spelling | oai:generic.eprints.org: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 |
| spellingShingle | QA Mathematics Mukhamedov, Farrukh Saburov, Mansoor On homotopy of volterrian quadratic stochastic operators |
| title | 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_short | On homotopy of volterrian quadratic stochastic operators |
| title_sort | on homotopy of volterrian quadratic stochastic operators |
| topic | QA Mathematics |
| url | http://irep.iium.edu.my/1559/1/mfsb-amis%282010%29.pdf |
| work_keys_str_mv | AT mukhamedovfarrukh onhomotopyofvolterrianquadraticstochasticoperators AT saburovmansoor onhomotopyofvolterrianquadraticstochasticoperators |