Nonlinear extensions of the Perron-Frobenius theorem and the Krein-Rutman theorem

DOI10.1007/s11784-014-0191-2zbMath1342.47057OpenAlexW2038696453MaRDI QIDQ2259136

Kung-Ching Chang

Publication date: 27 February 2015

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

Full work available at URL: https://doi.org/10.1007/s11784-014-0191-2

zbMATH Keywords

ordered Banach spacePerron-Frobenius theoremincreasing mapirreducible operatornonlinear Krein-Rutman theoremsemi-strongly maps

Mathematics Subject Classification ID

Nonlinear elliptic equations (35J60) Eigenvalues, singular values, and eigenvectors (15A18) Eigenvalue problems for linear operators (47A75) Nonlinear spectral theory, nonlinear eigenvalue problems (47J10) Positive linear operators and order-bounded operators (47B65) Monotone and positive operators on ordered Banach spaces or other ordered topological vector spaces (47H07)

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