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

Authors

  • 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

DOI:

https://doi.org/10.24297/jap.v13i8.6307

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.

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Published

2017-09-20

Issue

Vol. 13 No. 8 (2017)

Section

Articles

License

Creative Commons License All articles published in Journal of Advances in Linguistics are licensed under a Creative Commons Attribution 4.0 International License.

How to Cite

On The Stability Problem of Quadratic Functional Equations in 2-Banach Spaces. (2017). JOURNAL OF ADVANCES IN PHYSICS, 13(8), 5054-5061. https://doi.org/10.24297/jap.v13i8.6307

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