Existence of continuous solutions for an iterative functional series equation with variable coefficients

DOI10.1007/S00010-009-2960-3zbMath1207.39028OpenAlexW2036427250MaRDI QIDQ621356

Veerapazham Murugan, Papagudi Venkatachalam Subrahmanyam

Publication date: 2 February 2011

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

Full work available at URL: https://doi.org/10.1007/s00010-009-2960-3

zbMATH Keywords

stabilitySchauder fixed-point theoremcontinuous solutionsBanach contraction principleBanach spaceiterative functional equationshomeomorphismArzela-Ascoli theorem

Mathematics Subject Classification ID

Fixed-point theorems (47H10) Contraction-type mappings, nonexpansive mappings, (A)-proper mappings, etc. (47H09) Iteration theory, iterative and composite equations (39B12) Functional equations for functions with more general domains and/or ranges (39B52)

Related Items (3)

Existence, construction and extension of continuous solutions of an iterative equation with multiplication ⋮ CONVEX SOLUTIONS OF THE POLYNOMIAL-LIKE ITERATIVE EQUATION WITH VARIABLE COEFFICIENTS ⋮ Continuous solutions of 3rd-order iterative equation of linear dependence

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