Convex solutions of polynomial-like iterative equations
From MaRDI portal
Publication:819021
DOI10.1016/j.jmaa.2005.10.006zbMath1090.39012OpenAlexW2077957559MaRDI QIDQ819021
Bing Xu, Kazimierz Nikodem, Wei Nian Zhang
Publication date: 22 March 2006
Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)
Full work available at URL: https://eudml.org/doc/32575
monotonicityfixed pointcontinuous solutionconvex solutionspolynomial-like iterative functional equation
Functional equations for real functions (39B22) Iteration theory, iterative and composite equations (39B12)
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Cites Work
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- Universal properties of maps on an interval
- On the functional equation \(f(p+qx+rf(x))=a+bx+cf(x)\)
- Iterative functional equations in the class of Lipschitz functions
- Characteristic solutions of polynomial-like iterative equations
- On a linear iterative equation
- On an equation of linear iteration
- On a functional equation involving iterates of a bijection on the unit interval
- When is f(f(z)) = az 2 + bz + c?
- Invariant curves for planar mappings
- A functional equation involving iterates of a bijection on the unit interval II
- On Linear Dependence of Iterates
- Solutions of equivariance for a polynomial-like iterative equation
- Another Proof that Convex Functions are Locally Lipschitz
- Discussion on the differentiable solutions of the iterated equation
- Recent results on functional equations in a single variable, perspectives and open problems