ε-continuity in the Hyers–Ulam–Rassias stability

Authors

Seyed Mohammad Sadeg Nabavi Sales - Department of Mathematics and Computer Sciences, Hakim Sabzevari University, P.O. Box 397, Sabzevar, Iran

Abstract

We improve the well-known Hyers–Ulam–Rassias stability of the linear mappings in Banach spaces of Th.M. Rassias, by relaxing the assumption of continuity. We also state some results concerned with the stability of ε-continuous functions