On The Stability Problem of Quadratic Functional Equations in 2-Banach Spaces

  • Seong Sik Kim Department of Mathematics, Dongeui University Busan 614-714, Korea
  • Ga Ya Kim Department of Urban Engineering, Dongeui University Busan 614-714, Korea
  • Soo Hwan Kim Department of Mathematics, Dongeui University Busan 614-714, Korea
Keywords: Stability, Quadratic functional equations, 2-Banach spaces

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.

Downloads

Download data is not yet available.
Published
2017-09-20
How to Cite
Kim, S. S., Kim, G. Y., & Kim, S. H. (2017). On The Stability Problem of Quadratic Functional Equations in 2-Banach Spaces. JOURNAL OF ADVANCES IN PHYSICS, 13(8), 5054-5061. https://doi.org/10.24297/jap.v13i8.6307
Section
Articles