A limit theorem for order preserving nonexpansive operators in \(L_ 1\)

DOI10.1007/BF02811883zbMath0729.47051OpenAlexW2032934418MaRDI QIDQ806019

Rainer Wittmann, Michael Lin, Ulrich Krengel

Publication date: 1990

Published in: Israel Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/77041

zbMATH Keywords

order-preserving nonexpansive operator

Mathematics Subject Classification ID

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)

Related Items (1)

Hopf's ergodic theorem for nonlinear operators

Cites Work

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• An example concerning fixed points
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• Almost convergence and nonlinear ergodic theorems
• Mean Ergodic Theorems for Nonlinear Operators
• An integral representation of disjointly additive order preserving operators inL₁
• Some Relations Between Nonexpansive and Order Preserving Mappings
• Fixed Points and Iteration of a Nonexpansive Mapping in a Banach Space
• Weak convergence of the sequence of successive approximations for nonexpansive mappings

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