Geodesic
On a linear functional equation with a mean-type mapping having no fixed points
Discussiones Mathematicae. Differential Inclusions, Control and Optimization, Tome 25 (2005) no. 1, pp. 27-46.

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Our aim is to study continuous solutions φ of the classical linear iterative equation
Keywords: linear functional equation, iteration, mean, continuous solution, solution depending on an arbitrary function 
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Sajbura, Katarzyna. On a linear functional equation with a mean-type mapping having no fixed points. Discussiones Mathematicae. Differential Inclusions, Control and Optimization, Tome 25 (2005) no. 1, pp. 27-46. http://geodesic.mathdoc.fr/item/DMDICO_2005_25_1_a2/

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