Some contractive type mappings and their applications to difference equations

DOI10.1080/10236190903257818zbMath1244.39003OpenAlexW1982361819MaRDI QIDQ3016323

Yong-Zhuo Chen

Publication date: 15 July 2011

Published in: Journal of Difference Equations and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/10236190903257818

zbMATH Keywords

stabilityconemetric spacedifference equationdiscrete dynamical systemcontractive conditionordered Banach spaceThompson's metricPrešarić type inequality

Mathematics Subject Classification ID

Contraction-type mappings, nonexpansive mappings, (A)-proper mappings, etc. (47H09) Additive difference equations (39A10) Discrete version of topics in analysis (39A12) Monotone and positive operators on ordered Banach spaces or other ordered topological vector spaces (47H07) Stability theory for difference equations (39A30)

Related Items (2)

Thompson's metric and global stability of difference equations ⋮ Stability of certain nonautonomous difference equations

Cites Work

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• The global attractivity of a higher order rational difference equation
• Global asymptotic stability of a higher order rational difference equation
• Global asymptotic stability in some discrete dynamical systems
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• Global asymptotic stability of inhomogeneous iterates
• Global asymptotic stability of a nonlinear recursive sequence.
• 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
• A limit set trichotomy for self-mappings of normal cones in banach spaces
• On a Class of Difference Equations with Strong Negative Feedback

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