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Stability of Drygas functional equation on T(3,R)

Valeriĭ A. Faĭziev, Prasanna K. Sahoo


In this paper, we study the stability of the system of functional equations f(xy) + f(xy−1) = 2f(x) + f(y) + f(y−1) and f(yx) + f(y−1x) = 2f(x) + f(y) + f(y−1) on nonabelian group T(3,R). Here f is a real-valued function that takes values on a group. We show that this system is stable on the group T(3,R).


bihomomorphism, Drygas function, homomorphism, Jensen functional equation, pseudojensen function, pseudoquadratic function, quadratic function, quasidrygas function, quasijensen function, quasiquadratic function, semidirect product of groups, and T(3,R) group.

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