Fixed Points of Quadratic Operators Defined on a Three-Dimensional Simplex of Idempotent Measures
In this paper, the set of all fixed points of each quadratic operator, which maps the three-dimensional simplex of idempotent measures to itself, is considered. The th element of is determined by the aid of all elements of th matrix of the cubic matrix . All quadratic operators, which map the -dimen...
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Veröffentlicht in: | Lobachevskii journal of mathematics 2022-03, Vol.43 (3), p.762-769 |
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Format: | Artikel |
Sprache: | eng |
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Zusammenfassung: | In this paper, the set of all fixed points of each quadratic operator, which maps the three-dimensional simplex of idempotent measures to itself, is considered. The
th element of
is determined by the aid of all elements of
th matrix of the cubic matrix
. All quadratic operators, which map the
-dimensional simplex of idempotent measures to itself, is classified. The set of all fixed points of each quadratic operator, which maps the three-dimensional simplex of idempotent measures to itself, is described. |
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ISSN: | 1995-0802 1818-9962 |
DOI: | 10.1134/S1995080222060130 |