INNER PRODUCT SPACES AND FUNCTIONAL EQUATIONS

Abstract

In [7], Th.M. Rassias introduced the following equality Due to image rights restrictions, multiple line equation(s) cannot be graphically displayed. for a fixed integer n ≥ 3. Let V, W be real vector spaces. In this paper, we show that, if a mapping f : V → W satisfies Due to image rights restrictions, multiple line equation(s) cannot be graphically displayed. for all x1, …, xn ∈ V with Due to image rights restrictions, multiple line equation(s) cannot be graphically displayed. then the mapping f : V → W is realized as the sum of an additive mapping and a quadratic mapping. Furthermore, we prove the generalized Hyers-Ulam stability of the functional equation (0.1) in real Banach spaces. [ABSTRACT FROM AUTHOR] Copyright of Journal of Computational Analysis & Applications is the property of Eudoxus Press, LLC and its content may not be copied or emailed to multiple sites or posted to a listserv without the copyright holder's express written permission. However, users may print, download, or email articles for individual use. This abstract may be abridged. No warranty is given about the accuracy of the copy. Users should refer to the original published version of the material for the full abstract. (Copyright applies to all Abstracts.)