Existence, construction and extension of continuous solutions of an iterative equation with multiplication

DOI10.1007/s11425-022-2056-6zbMath1530.39015OpenAlexW4380882600MaRDI QIDQ6051322

Wei Nian Zhang, Chaitanya Gopalakrishna, Murugan Veerapazham, Suyun Wang

Publication date: 19 October 2023

Published in: Science China. Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11425-022-2056-6

zbMATH Keywords

iterationfunctional equationcontraction principlenonlinear combination

Mathematics Subject Classification ID

Equations involving nonlinear operators (general) (47J05) Iteration theory, iterative and composite equations (39B12)

Cites Work

• Existence of continuous solutions for an iterative functional series equation with variable coefficients
• Iterative equations in Banach spaces
• Construction of continuous solutions and stability for the polynomial-like iterative equation
• Special solutions of a general iterative functional equation
• Decreasing solutions and convex solutions of the polynomial-like iterative equation
• Iterative functional equations in the class of Lipschitz functions
• On an equation of linear iteration
• Global solutions for leading coefficient problem of polynomial-like iterative equations
• A general class of iterative equations on the unit circle
• Continuous solutions of a polynomial-like iterative equation with variable coefficients
• Solutions of equivariance for a polynomial-like iterative equation
• Discussion on the differentiable solutions of the iterated equation
• Recent results on functional equations in a single variable, perspectives and open problems
• Differentiable solutions of an iterative functional equation
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