ON A COMPOSITE FUNCTIONAL EQUATION RELATED TO THE GOLAB-SCHINZEL EQUATION

Title & Authors
ON A COMPOSITE FUNCTIONAL EQUATION RELATED TO THE GOLAB-SCHINZEL EQUATION
Gordji, Madjid Eshaghi; Rassias, Themistocles M.; Tial, Mohamed; Zeglami, Driss;

Abstract
Let X be a vector space over a field K of real or complex numbers and $\small{k{\in}{\mathbb{N}}}$. We prove the superstability of the following generalized Golab-Schinzel type equation $f(x_1+{\limits\sum_{i Keywords Hyers-Ulam stability;Golab-Schinzel equation;superstability; Language English Cited by 1. Stability problem for the composite type functional equations, Expositiones Mathematicae, 2017 References 1. J. Aczel and S. Golab, Remarks on one-parameter subsemigroups of the affine group and their homo- and isomorphisms, Aequationes Math. 4 (1970), 1-10. 2. J. A. Baker, The stability of the cosine equation, Proc. Amer. Math. Soc. 80 (1980), no. 3, 411-416. 3. J. A. Baker, J. Lawrence, and F. Zorzitto, The stability of the equation f(x + y) =f(x)f(y), Proc. Amer. Math. Soc. 74 (1979), no. 2, 242-246. 4. K. Baron, On the continuous solutions of the Golab-Schinzel equation, Aequationes Math. 38 (1989), no. 2-3, 155-162. 5. N. 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