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This is an article on a well established mathematical term in Mathematical Analysis. The interested reader is further referred to the following standard references:
1) Chapter 6 "Stability" (pp.295-327) of the book: Pl. Kannappan, Functional Equations and Inequalities with Applications, Springer, New York, 2009
2) The entire book: S.-M. Jung, Hyers-Ulam-Rassias Stability of Functional Equations in Nonlinear Analysis, Springer, New York, 2011
3) The book: D.H. Hyers, G. Isac and Th.M. Rassias, Stability of Functional Equations in Several Variables, Birkhauser, Basel, 1998