Iterative functional equations in the class of Lipschitz functions

DOI10.1007/S00010-002-8028-2zbMath1009.39021OpenAlexW2114022925WikidataQ112226164 ScholiaQ112226164MaRDI QIDQ1849464

Marcin Kulczycki, Jacek Tabor

Publication date: 1 December 2002

Published in: Aequationes Mathematicae (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00010-002-8028-2

zbMATH Keywords

Lipschitz functionsCauchy functional equationideally convex setitrative functional equations

Mathematics Subject Classification ID

Iteration theory, iterative and composite equations (39B12)

Related Items (26)

Convex solutions of polynomial-like iterative equations ⋮ On existence for polynomial-like iterative equations ⋮ Hyers-Ulam stability of the iterative equation with a general boundary restriction ⋮ Continuously decreasing solutions for a general iterative equation ⋮ Construction of continuous solutions and stability for the polynomial-like iterative equation ⋮ Strongly convex solutions of a polynomial-like iterative equation with variable coefficients ⋮ Decreasing solutions and convex solutions of the polynomial-like iterative equation ⋮ Convex solutions of the multi-valued iterative equation of order \(n\) ⋮ Existence, construction and extension of continuous solutions of an iterative equation with multiplication ⋮ Global solutions for leading coefficient problem of polynomial-like iterative equations ⋮ On set-valued solution of an \(n\)-order iterative functional equation ⋮ The polynomial-like iterative equation for PM functions ⋮ CONVEX SOLUTIONS OF THE POLYNOMIAL-LIKE ITERATIVE EQUATION WITH VARIABLE COEFFICIENTS ⋮ Smoothness ofO(N)-equivariant solutions of a polynomial-like iterative equation onR^N ⋮ Leading coefficient problem for polynomial-like iterative equations ⋮ Continuous solutions of 3rd-order iterative equation of linear dependence ⋮ Construction of usc solutions for a multivalued iterative equation of order \(n\) ⋮ Iterative equations in Banach spaces ⋮ Convexity of solutions for an iterative equation in Banach spaces ⋮ On a class of iterative-difference equations ⋮ A general class of iterative equations on the unit circle ⋮ Differentiable solutions of equations involving iterated functional series ⋮ On series-like iterative equation with a general boundary restriction ⋮ The \(C^1\) solutions of the series-like iterative equation with variable coefficients ⋮ Hyers-Ulam stability of iterative equation in the class of Lipschitz functions ⋮ HOMEOMORPHISMS RELATED TO THE POLYNOMIAL-LIKE ITERATIVE EQUATION ON <inline-formula><tex-math id="M1">$\mathbb{S}^1$</tex-math></inline-formula>

This page was built for publication: Iterative functional equations in the class of Lipschitz functions