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Approximation of Mixed-Type Functional Equations in Menger PN-Spaces

Author

Listed:
  • M. Eshaghi Gordji
  • H. Khodaei
  • Y. W. Lee
  • G. H. Kim

Abstract

Let and be vector spaces. We show that a function with satisfies for all , if and only if there exist functions , and such that for all , where the function is symmetric for each fixed one variable and is additive for fixed two variables, is symmetric bi-additive, is additive and ( , ) for all . Furthermore, we solve the stability problem for a given function satisfying , in the Menger probabilistic normed spaces.

Suggested Citation

  • M. Eshaghi Gordji & H. Khodaei & Y. W. Lee & G. H. Kim, 2012. "Approximation of Mixed-Type Functional Equations in Menger PN-Spaces," Abstract and Applied Analysis, Hindawi, vol. 2012, pages 1-17, May.
    • Handle: RePEc:hin:jnlaaa:392179
    DOI: 10.1155/2012/392179
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