@article{Arslan2024, 
author = {Berna Arslan},
title = {On generalized biderivations of Banach algebras},
year = {2024},
journal = {AIMS Mathematics},
volume = {9},
number = {12},
pages = {36259-36272},
keywords = {generalized biderivation, inner generalized biderivation, generalized biamenability, weak generalized biamenability, triangular Banach algebra},
url = {https://www.sciopen.com/article/10.3934/math.20241720},
doi = {10.3934/math.20241720},
abstract = {The aim of this paper is to introduce the concept of generalized biderivations of unital Banach algebras and prove some results concerning generalized biamenability of unital Banach algebras. Let  A and  B be unital Banach algebras, and let  X be a unital  A- B-module. Let  T=Tri(A,X,B) be the corresponding triangular Banach algebra. We also study the generalized biamenability of triangular Banach algebras and show that if  X={0} and  T is generalized biamenable, then  A and  B are both generalized biamenable.}
}