Convex solutions to polynomial-like iterative equations on open intervals
From MaRDI portal
Publication:623396
DOI10.1007/s00010-010-0020-7zbMath1223.39014OpenAlexW2122042079MaRDI QIDQ623396
Publication date: 14 February 2011
Published in: Aequationes Mathematicae (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s00010-010-0020-7
Schauder's fixed point theoremconvex functionsfunctional equationsconvex solutionshigher order convex functions
Fixed-point theorems (47H10) Functional equations for real functions (39B22) Iteration theory, iterative and composite equations (39B12) Iteration of real functions in one variable (26A18)
Related Items
On a functional equation involving iterates and powers, Strongly convex solutions of a polynomial-like iterative equation with variable coefficients, Strongly convex solutions of an iterative functional equation, Convex solutions of the multi-valued iterative equation of order \(n\), On a Zoltán Boros' problem connected with polynomial-like iterative equations, CONVEX SOLUTIONS OF THE POLYNOMIAL-LIKE ITERATIVE EQUATION WITH VARIABLE COEFFICIENTS, Periodic and continuous solutions of a polynomial-like iterative equation, Continuous solutions of 3rd-order iterative equation of linear dependence, Strongly convex solutions of polynomial-like iterative equation, Convexity of solutions for an iterative equation in Banach spaces, Existence of solutions of polynomial-like iterative equation with discontinuous known functions, HOMEOMORPHISMS RELATED TO THE POLYNOMIAL-LIKE ITERATIVE EQUATION ON <inline-formula><tex-math id="M1">$\mathbb{S}^1$</tex-math></inline-formula>
Cites Work
- 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
- Log-convex solutions of the second order to the functional equation \(f(x+1)=g(x)f(x)\)
- Leading coefficient problem for polynomial-like iterative equations
- On a linear iterative equation
- On an equation of linear iteration
- Uniform Boundedness and Closed Graph Theorems for Convex Operators
- Discussion on the differentiable solutions of the iterated equation
- Recent results on functional equations in a single variable, perspectives and open problems
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
