On The Stability Problem of Quadratic Functional Equations in 2-Banach Spaces
Journal Title: JOURNAL OF ADVANCES IN PHYSICS - Year 2017, Vol 13, Issue 8
Abstract
In this paper, we investigate the stability problem in the spirit of Hyers-Ulam, Rassias and Gavruta for the quadratic functional equation: f(2x + y) + f(2x - y) = 2f(x + y) + 2f(x - y) + 4f(x) - 2f(y) in 2-Banach spaces. These results extend the generalized Hyers-Ulam stability results by the quadratic functional equation in normed spaces to 2-Banach spaces.
Authors and Affiliations
Seong Sik Kim, Ga Ya Kim, Soo Hwan Kim
Keywords
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- EP ID EP653466
- DOI 10.24297/jap.v13i8.6307
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