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Conditional cubic stochastic operator

R.R. DavronovInstitute of Mathematics, National University of Uzbekistan, 29, Do'rmon Yo'li str., 100125 Tashkent, UzbekistanUygun JamilovInstitute of Mathematics, National University of Uzbekistan, 29, Do'rmon Yo'li str., 100125 Tashkent, UzbekistanM. LadraDepartment of Algebra, IMAT, University of Santiago de Compostela, Spain

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We introduce the concept of conditional cubic stochastic operator in this study. We show that any conditional cubic stochastic operator has a unique fixed point and such an operator has the property of being regular.

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