Thompson's metric and global stability of difference equations

DOI10.1007/s11117-011-0113-0zbMath1251.39007OpenAlexW2073981543MaRDI QIDQ427266

Yong-Zhuo Chen

Publication date: 13 June 2012

Published in: Positivity (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11117-011-0113-0

zbMATH Keywords

coneglobal stabilitymetric spacecontractive conditionordered Banach spaceThompson's metricrational difference equation

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) Multiplicative and other generalized difference equations (39A20) Stability theory for difference equations (39A30)

Related Items (2)

First results in suprametric spaces with applications ⋮ Stability of certain nonautonomous difference equations

Cites Work

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• Global asymptotic stability in some discrete dynamical systems
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• The global attractivity of the rational difference equation \(y_n = \frac{y_{n-k}+y_{n-m}}{1+y_{n-k}y_{n-m}}\)
• A part-metric-related inequality chain and application to the stability analysis of difference equation
• Some contractive type mappings and their applications to difference equations
• GLOBAL ASYMPTOTIC STABILITY FOR GENERAL SYMMETRIC RATIONAL DIFFERENCE EQUATIONS
• A limit set trichotomy for self-mappings of normal cones in banach spaces
• On Certain Contraction Mappings in a Partially Ordered Vector Space

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