ScienceAsia 42(2016): 296-301 |doi:
Stability of Fréchet's functional equation on certain groupoids
Teerapol Sukhonwimolmal, Paisan Nakmahachalasint*, Patanee Udomkavanich
ABSTRACT: We obtain a Hyers-Ulam stability result for Fréchet's functional equation Δn+1y1,y2,...,yn+1f(x)=0 for all x,y1,y2,...,yn+1∈G, where f:G→B is a mapping from a power-associative, mth-power-symmetric groupoid with a left identity into a real Banach space, and m,n are nonnegative integers with m>1.
|Department of Mathematics and Computer Science, Chulalongkorn University, Bangkok 10330 Thailand
* Corresponding author, E-mail: Paisan.N@chula.ac.th
Received 17 Mar 2016, Accepted 1 Aug 2016