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Perron-Frobenius problem for weakly sublinear maps in a Euclidean positive orthant

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Publication:1199760
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DOI10.1007/BF03167569zbMath0761.90020MaRDI QIDQ1199760

Yorimasa Oshime

Publication date: 16 January 1993

Published in: Japan Journal of Industrial and Applied Mathematics (Search for Journal in Brave)


zbMATH Keywords

maximal eigenvalueindecomposabilitysubadditivitycanonical decompositionPerron-Frobenius theoremnonlinear Leontief model


Mathematics Subject Classification ID

Multisectoral models in economics (91B66)


Related Items

The nonlinear Perron-Frobenius problem for set-valued maps in a closed convex cone in \(\mathbb{R}^ N\), Stochastic fixed points and nonlinear Perron–Frobenius theorem, Nonlinear Perron-Frobenius problem for order-preserving mappings. I



Cites Work

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  • An extension of Morishima's nonlinear Perron-Frobenius theorem
  • Strong ergodicity for strictly increasing nonlinear operators
  • Perron's stability theorem for non-linear mappings
  • Addendum to ``Nonlinear generalization of the Frobenius theorem
  • Nonlinear generalization of the Frobenius theorem. A symmetric approach
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