On Two Pexiderized Functional Equations of Davison Type
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Authors: A. NAJATI AND P. K. SAHOO
DOI: 10.46793/KgJMat2304.539N
Abstract:
In this paper, we present the general solution of two Pexiderized functional equations of Davison type without assuming any regularity assumption on the unknown functions.
Keywords:
Additive mapping, functional equations of Davison type, Hosszu’s functional equation, Hyers-Ulam stability.
References:
[1] W. Benz. Remark on problem 191, Aequationes Math. 20 (1980), 307.
[2] T. M. K. Davison, Problem 191, Aequationes Math. 20 (1980), 306.
[3] R. Girgensohn and K. Lajkó. A functional equation of Davison and its generalization, Aequationes Math. 60 (2000), 219–224. https://doi.org/10.1007/s000100050148
[4] A. Najati and P. K. Sahoo, On some functional equations and their stability, Journal of Interdisciplinary Mathematics 23(4) (2020), 755–765. https://doi.org/10.1080/09720502.2017.1386372
[5] P. K. Sahoo and P. Kannappan, Introduction to Functional Equations, CRC Press, Boca Raton, 2011.
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