Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
8899405 | Journal of Mathematical Analysis and Applications | 2018 | 18 Pages |
Abstract
The goal of this paper is to study the general solution of the following general radical quintic functional equationf(ax5+by55)=rf(x)+sf(y) for f a mapping from the field of real numbers into a vector space, where a,b,r,s are fixed nonzero reals. Also, we prove the generalized hyperstability results for the general radical quintic functional equation by using the fixed point theorem (cf. Dung and Hang (2018) [15], Theorem 2.1) in quasi-β-Banach spaces. Namely, we show, under some weak natural assumptions, functions satisfying the above equation approximately (in some sense) must be actually solutions to it.
Keywords
Related Topics
Physical Sciences and Engineering
Mathematics
Analysis
Authors
Iz-iddine EL-Fassi,