TY - JOUR
AU - 박춘길
DA - 2019/03
PY - 2019
UR - https://link.springer.com/article/10.1007%2Fs11784-018-0652-0
UR - https://repository.hanyang.ac.kr/handle/20.500.11754/110322
AB - In this paper, we introduce and solve the following additive s- functional inequality:
f ( x + y) - f( x) - f( y) = s( f( x - y) - f( x) - f(- y))
where s is a fixed nonzero complex number with | s| < 1. Using the fixed point method and the direct method, we prove the Hyers-Ulam stability of the additive s-functional inequality (0.1) in complex Banach spaces. Furthermore, we prove the Hyers-Ulam stability of hom-derivations in complex Banach algebras.
PB - SPRINGER BASEL AG
KW - Hyers-Ulam stability
KW - hom-derivation in Banach algebra
KW - additive s-functional inequality
KW - fixed point method
KW - direct method
TI - Additive s-functional inequality and hom-derivations in Banach algebras
IS - 1(18)
VL - 21
DO - 10.1007/s11784-018-0652-0
T2 - JOURNAL OF FIXED POINT THEORY AND APPLICATIONS
ER -