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An AQCQ-Functional Equation in Matrix Random Normed Spaces

In: Topics in Mathematical Analysis and Applications

Author

Listed:
  • Jung Rye Lee

    (Daejin University)

  • Choonkil Park

    (Hanyang University)

  • Themistocles M. Rassias

    (National Technical University of Athens)

Abstract

In this paper, we prove the Hyers–Ulam stability of the following additive-quadratic-cubic-quartic functional equation f ( x + 2 y ) + f ( x − 2 y ) = 4 f ( x + y ) + 4 f ( x − y ) − 6 f ( x ) + f ( 2 y ) + f ( − 2 y ) − 4 f ( y ) − 4 f ( − y ) $$\displaystyle\begin{array}{rcl} & & f(x + 2y) + f(x - 2y) {}\\ & & \quad = 4f(x + y) + 4f(x - y) - 6f(x) + f(2y) + f(-2y) - 4f(y) - 4f(-y) {}\\ \end{array}$$ in matrix random normed spaces.

Suggested Citation

  • Jung Rye Lee & Choonkil Park & Themistocles M. Rassias, 2014. "An AQCQ-Functional Equation in Matrix Random Normed Spaces," Springer Optimization and Its Applications, in: Themistocles M. Rassias & László Tóth (ed.), Topics in Mathematical Analysis and Applications, edition 127, pages 523-540, Springer.
    • Handle: RePEc:spr:spochp:978-3-319-06554-0_22
    DOI: 10.1007/978-3-319-06554-0_22
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