%0 Journal Article %T Building Extended Homomorphism on Fuzzy Banach Algebra Based on Jensen Equation with 2k-Variables by Fixed Point Methods and Direct Methods %A Ly Van An %J Open Access Library Journal %V 10 %N 5 %P 1-18 %@ 2333-9721 %D 2023 %I Open Access Library %R 10.4236/oalib.1110206 %X In this paper, I study to expand homomorphisms on fuzzy Banach algebra based on Jensen-type functional equation with 2k-variable. First, we study extended homomorphisms on fuzzy Banach algebra with the fixed point method. Next, we study extended homomorphism on fuzzy Banach algebra by direct method. These are the main results of this paper. %K General Jensen-Type Additive Function Equation %K Fuzzy-Banach Algebras %K Fixed Point Method %K Direct Method %K Hyers-Ulam-Rassias Stability %U http://www.oalib.com/paper/6795805