Stability of A Sincov Type Functional Equation

Prasanna K. Sahoo

Abstract


This paper aims to study the Hyers-Ulam stability of a Sincov type functional equation $f(x,y) + f(y, z) + f(x, z) = \ell (x+y+z)$ when the domain of the functions is an abelian group and the range is a Banach space.


Keywords


Homomorphism; Hyers-Ulam stability; quadratic function; Sincov functional equation

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DOI: http://dx.doi.org/10.26713%2Fjims.v1i2+%26+3.12

eISSN 0975-5748; pISSN 0974-875X