TY - JOUR
ID - 7006
TI - Notes on f-hom-ders associated with a system of additive functional equations in unital algebras
JO - International Journal of Nonlinear Analysis and Applications
JA - IJNAA
LA - en
SN -
AU - Park, Choonkil
AU - Senasukh, Jedsada
AD - Research Institute for Natural Sciences, Hanyang University, Seoul 04763, Korea
AD - Department of Mathematics, Faculty of Science, Khon Kaen University, Khon Kaen 40002, Thailand
Y1 - 2023
PY - 2023
VL - 14
IS - 1
SP - 603
EP - 612
KW - f-hom-der
KW - unital algebra
KW - Banach algebra
KW - system of additive functional equations
KW - stability result
DO - 10.22075/ijnaa.2022.28244.3843
N2 - The following system of additive functional equations 2f(x+y)=g(x)+g(y), g(x+y)=2f(y-x)+4f(x) in a Banach algebra was investigated by Paokanta et al. [S. Paokanta, M. Dehghanian, C. Park and Y. Sayyari, System of additive functional equations in Banach algebras (preprint)]. By using the system (A), Paokanta et al. [S. Paokanta, M. Dehghanian, C. Park and Y. Sayyari, System of additive functional equations in Banach algebras (preprint)] also investigated the notion of an f-hom-der in Banach algebras. In this note, we first show that the system of additive functional equations (A) is equivalent to an additive functional equation and then some aspects related to f-hom-ders are discussed. Finally, we present stability results of f-hom ders associated with the system of additive functional equations (A).
UR - https://ijnaa.semnan.ac.ir/article_7006.html
L1 - https://ijnaa.semnan.ac.ir/article_7006_ec6a896f76e137f9f145aeb8e72bf5fe.pdf
ER -