On homotopy of volterrian quadratic stochastic operators

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dc.creatorMukhamedov, Farrukh
dc.creatorSaburov, Mansoor
dc.date2007-12-18
dc.date.accessioned2026-07-07T08:49:51Z
dc.date.available2026-07-07T08:49:51Z
dc.descriptionIn the present paper we introduce a notion of homotopy of two Volterra operators which is related to fixed points of such operators. It is establish a criterion when two Volterra operators are homotopic, as a consequence we obtain that the corresponding tournaments of that operators are the same. This, due to \cite{Ga1}, 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.
dc.description12 pages
dc.identifierhttps://arxiv.org/abs/0712.2891
dc.identifierhttp://arxiv.org/abs/0712.2891
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/144450
dc.subjectDynamical Systems
dc.subjectFunctional Analysis
dc.subject15A51, 47H60, 46T05, 92B99
dc.titleOn homotopy of volterrian quadratic stochastic operators
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