Journal of the Korean Mathematical Society (대한수학회지)

Korean Mathematical Society (대한수학회)
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ON A FUNCTIONAL EQUATIONS ON GROUPS

  • Chung, Jukang-K. (Department of Applied Mathematics, South China University of Technology) ;
  • Jung, Soon-Mo (Mathematics Section, College of Science and Technology, Hong-Ik University) ;
  • Prasanna K.Sahoo (Department of Mathematics, University of Louisville)
  • Published : 2001.01.01
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Abstract

We present the general solution of the functional equation f(x$_1$y$_1$,x$_2$y$_2$) + f(x$_1$y$_1$(sup)-1,x$_2$) + f(x$_1$,x$_2$y$_2$(sup)-1) = f(x$_1$y$_1$(sup)-1,x$_2$y$_2$(sup)-1) + f(x$_1$y$_1$,x$_2$) + f(x$_1$,x$_2$y$_2$). Furthermore, we also prove the Hyers-Ulam stability of the above functional equation.

Keywords

References

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