" The structure of the fixed point set of quadratic operators on the simplex"

DOI10.24193/fpt-ro.2018.1.30zbMath1460.37022OpenAlexW2793806785MaRDI QIDQ4565175

Nur Atikah Yusof, Mansoor Saburov

Publication date: 8 June 2018

Published in: Fixed Point Theory (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.24193/fpt-ro.2018.1.30

zbMATH Keywords

fixed pointcubic stochastic matrixquadratic stochastic operator

Mathematics Subject Classification ID

Fixed-point theorems on manifolds (58C30) Fixed points and periodic points of dynamical systems; fixed-point index theory; local dynamics (37C25)

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Ergodicity of non-homogeneous \(\mathbf{p}\)-majorizing quadratic stochastic operators ⋮ Krause mean processes generated by cubic stochastic diagonally primitive matrices ⋮ Second order Markov chains with finite vectors known stationary ⋮ Krause mean processes generated by cubic stochastic matrices IV: off-diagonally uniformly positive nonautonomous cubic stochastic matrices ⋮ Applications of quadratic stochastic operators to nonlinear consensus problems ⋮ Ganikhodjaev's conjecture on mean ergodicity of quadratic stochastic operators ⋮ Reaching a consensus via Krause mean processes in multi-agent systems: quadratic stochastic operators ⋮ Ergodicity of $p$-majorizing nonlinear Markov operators on the finite dimensional space

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