Generalized distributivity for real, continuous functions. I: Structure theorems and surjective solutions

DOI10.1007/BF02193036zbMath0508.39011MaRDI QIDQ1837851

Anders Lundberg

Publication date: 1982

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

Full work available at URL: https://eudml.org/doc/136928

zbMATH Keywords

convexcontinuousiteration groupstrictly monotoniccliff functiongeneralized distributivityPexider type equationssurjective solutions

Mathematics Subject Classification ID

Iteration theory, iterative and composite equations (39B12) Functional inequalities, including subadditivity, convexity, etc. (39B62)

Related Items (4)

Cliff functions - a tool for treating sequences of composed functions ⋮ Ambiguity and endogenous discounting ⋮ Uniqueness theorems for the representation \(\varphi(f(x)g(y)+h(y))\) ⋮ Generalized distributivity for real, continuous functions. II: Local solutions in the continuous case

Cites Work

• Cliff functions - a tool for treating sequences of composed functions
• On the functional equation \(f(\lambda (x)+g(y))=\mu (x)+h(x+y)\)
• Uniqueness theorems for the representation \(\varphi(f(x)g(y)+h(y))\)
• Some remarks on the functional equation of generalized distributivity
• On iterated functions with asymptotic conditions at a fixpoint
• Sur l'équation de translation
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