Set-contractive mappings and difference equations in Banach spaces

DOI10.1016/S0898-1221(03)00094-4zbMath1057.39001MaRDI QIDQ1827184

Cristóbal González, Antonio Jiménez-Melado

Publication date: 6 August 2004

Published in: Computers \& Mathematics with Applications (Search for Journal in Brave)

zbMATH Keywords

Banach spacesFixed pointsAsymptotic behaviorDifference equationsCondensing mappingsSet-contractions

Mathematics Subject Classification ID

Related Items (11)

Solvability for a discrete fractional mixed type sum-difference equation boundary value problem in a Banach space ⋮ Nonlocal type asymptotic behavior for solutions of second order difference equations ⋮ Existence of uncountably many bounded positive solutions for second order nonlinear neutral delay difference equations ⋮ Nonlinear discrete fractional mixed type sum-difference equation boundary value problems in Banach spaces ⋮ Weak solutions for the dynamic Cauchy problem in Banach spaces ⋮ Solvability of a second order nonlinear neutral delay difference equation ⋮ Oscillatory solutions for second-order difference equations in Hilbert spaces ⋮ Dynamic equations x(Δm)(t) = f(t, x(t)) on time scales ⋮ Carathéodory solutions of Sturm-Liouville dynamic equation with a measure of noncompactness in Banach spaces ⋮ A note on Peano's theorem on time scales ⋮ Existence and iterative approximations of nonoscillatory solutions for second order nonlinear neutral delay difference equations

Cites Work

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• Systems of difference equations with asymptotically constant solutions
• An application of Krasnoselskii fixed point theorem to the asymptotic behavior of solutions to difference equations in Banach spaces
• Asymptotic Behavior of the Solutions of the Second Order Difference Equation
• ON THE ASYMPTOTIC BEHAVIOUR OF SOLUTIONS OF DIFFERENCE EQUATIONS
• Asymptotic behavior of solutions of difference equations in Banach spaces

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