Nonlinear Perron-Frobenius problem for order-preserving mappings. I

DOI10.3792/pjaa.69.312zbMath0797.47034OpenAlexW2048377663MaRDI QIDQ1318945

Toshiko Ogiwara

Publication date: 12 April 1994

Published in: Proceedings of the Japan Academy. Series A (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3792/pjaa.69.312

zbMATH Keywords

positive eigenvectoreigenvalue problem of an order-preserving mapping defined on a positive cone of an ordered Banach spaceindecomposability for nonlinear mappingsnonlinear Perron-Frobenius problemuniqueness of the positive eigenvalue

Mathematics Subject Classification ID

Monotone and positive operators on ordered Banach spaces or other ordered topological vector spaces (47H07)

Related Items (4)

Discrete-time zero-sum games for Markov chains with risk-sensitive average cost criterion ⋮ A Variational Formula for Risk-Sensitive Reward ⋮ Positive eigenvalue-eigenvector of nonlinear positive mappings ⋮ Nonlinear Perron-Frobenius problem for order-preserving mappings. II: Applications

Cites Work

• An extension of Morishima's nonlinear Perron-Frobenius theorem
• Perron-Frobenius problem for weakly sublinear maps in a Euclidean positive orthant
• Nonlinear Perron-Frobenius problem for order-preserving mappings. II: Applications
• Some spectral properties of positive linear operators
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