@article{Sayyari2022, 
author = {Yamin Sayyari and Mehdi Dehghanian and Choonkil Park and Jung Rye Lee},
title = {Stability of hyper homomorphisms and hyper derivations in complex Banach algebras},
year = {2022},
journal = {AIMS Mathematics},
volume = {7},
number = {6},
pages = {10700-10710},
keywords = {Hyers-Ulam stability, 3-additive functional equation, hyper derivation, hyper homomrphism, 3-linear mapping},
url = {https://www.sciopen.com/article/10.3934/math.2022597},
doi = {10.3934/math.2022597},
abstract = {In this paper, we introduce the concept of hyper homomorphisms and hyper derivations in Banach algebras and we establish the stability of hyper homomorphisms and hyper derivations in Banach algebras for the following 3-additive functional equation:                       g        (                  x          1                +                  x          2                ,                  y          1                +                  y          2                ,                  z          1                +                  z          2                )        =                  ∑                      i            ,            j            ,            k            =            1                    2                g        (                  x          i                ,                  y          j                ,                  z          k                )        .}
}