Path stability and nonlinear weak ergodic theorems

DOI10.1090/S0002-9947-00-02600-3zbMath0972.47043MaRDI QIDQ4505921

Yong-Zhuo Chen

Publication date: 3 October 2000

Published in: Transactions of the American Mathematical Society (Search for Journal in Brave)

zbMATH Keywords

asymptotic propertiesmetric spacemonotone operatorordered Banach spaceThompson's metricHilbert metricpath stabilityinhomogeneous iteratesweakly ergodicnonlinear weak ergodic theoremsasymptotically generalized contractionsasymptotically large contractive sequenceBirkhoff-Hilbert metric space

Mathematics Subject Classification ID

Semigroups of nonlinear operators (47H20) Fixed-point theorems (47H10) Contraction-type mappings, nonexpansive mappings, (A)-proper mappings, etc. (47H09) Monotone and positive operators on ordered Banach spaces or other ordered topological vector spaces (47H07) Ergodic theory (37A99) Ordered normed spaces (46B40)

Cites Work

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• Weak ergodicity of population evolution processes
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• Some Nonlinear Weak Ergodic Theorems
• Hilbert’s projective metric and iterated nonlinear maps
• Asymptotic Properties for Inhomogeneous Iterations of Nonlinear Operators
• Stable Inhomogeneous Iterations of Nonlinear Positive Operators on Banach Spaces
• Integral equations, implicit functions, and fixed points
• The Perron–Frobenius Theorem and the Ranking of Football Teams
• On Certain Contraction Mappings in a Partially Ordered Vector Space
• On Nonlinear Contractions

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