FUNCTIONAL INEQUALITIES IN VECTOR BANACH SPACE.

In this paper, we prove that the generalized Hyers-Ulam stability of the additive functional inequality ‖(ax + by + cz) + f(bx + ay + bz) + f(cx + cy + az)‖ ≤ ‖(a + b + c)f(x + y + z)‖ in vector Banach space, where a ≠ b ≠ c 2 R are fixed points with 3 > ∣a + b + c∣. [ABSTRACT FROM AUTHOR]