On Homotopy of Volterrian Quadratic Stochastic Operators
نویسنده
چکیده
In 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 [4], 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. Mathematics Subject Classification: 15A51, 47H60, 46T05, 92B99.
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