Strongly convex solutions of a polynomial-like iterative equation with variable coefficients

DOI10.1080/10236198.2022.2042523zbMath1486.39029OpenAlexW4213442906MaRDI QIDQ5067764

Man Rong Li, Hou Yu Zhao

Publication date: 4 April 2022

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

Full work available at URL: https://doi.org/10.1080/10236198.2022.2042523

zbMATH Keywords

iterationfunctional equationfixed pointstrongly convex function

Mathematics Subject Classification ID

Fixed-point theorems (47H10) Stability, separation, extension, and related topics for functional equations (39B82) Contraction-type mappings, nonexpansive mappings, (A)-proper mappings, etc. (47H09) Iteration theory, iterative and composite equations (39B12)

Cites Work

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• Periodic and continuous solutions of a polynomial-like iterative equation
• Convex solutions to polynomial-like iterative equations on open intervals
• Iterative equations in Banach spaces
• Convex solutions of polynomial-like iterative equations
• Construction of continuous solutions and stability for the polynomial-like iterative equation
• Decreasing solutions and convex solutions of the polynomial-like iterative equation
• Iterative functional equations in the class of Lipschitz functions
• On existence for polynomial-like iterative equations
• Characteristic solutions of polynomial-like iterative equations
• On a linear iterative equation
• On an equation of linear iteration
• Strongly convex solutions of polynomial-like iterative equation
• On a functional equation involving iterates of a bijection on the unit interval
• When is f(f(z)) = az 2 + bz + c?
• ANALYTIC SOLUTIONS OF A POLYNOMIAL-LIKE ITERATIVE FUNCTIONAL EQUATION
• A functional equation involving iterates of a bijection on the unit interval II
• On Linear Dependence of Iterates
• Analytic solutions for polynomial-like iterative equations with variable coefficients
• CONVEX SOLUTIONS OF THE POLYNOMIAL-LIKE ITERATIVE EQUATION WITH VARIABLE COEFFICIENTS
• Convex solutions of the polynomial-like iterative equation in Banach spaces
• On the "indeterminate case" in the theory of a linear functional equation
• Discussion on the differentiable solutions of the iterated equation
• Recent results on functional equations in a single variable, perspectives and open problems
• Characteristic analysis for a polynomial-like iterative equation

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