ADDITIVE FUNCTIONAL INEQUALITIES IN GENERALIZED QUASI-BANACH SPACES
In this paper, we investigate the Hyers-Ulam stability of the following function inequalities parallel to af(x) + bf(y) + cf(z)parallel to <= parallel to Kf (ax + by + cz)/K parallel to (0 < vertical bar K vertical bar < vertical bar a + b + c vertical bar), parallel to af(x) + bf(y) + Kf(z)parallel to <= parallel to Kf (ax + by/K + z)parallel to (0 < K < vertical bar a + b + K vertical bar), in generalized quasi-Banach spaces.
additive functional inequality generalized quasi-banach space hyers-ulam stability additive mapping