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Generalized Ulam-Hyers stability of random homomorphisms in random normed algebras associated with the Cauchy functional equation
Authors:Choonkil Park  Dong Yun Shin
Institution:
  • a Department of Mathematics, Research Institute for Natural Sciences, Hanyang University, Seoul 133-791, South Korea
  • b Department of Mathematics, Daejin University, Kyeonggi 487-711, South Korea
  • c Department of Mathematics, University of Seoul, Seoul 130-743, South Korea
  • Abstract:Using the fixed point method, we prove the generalized Ulam-Hyers stability of random homomorphisms in random normed algebras associated with the Cauchy functional equation.
    Keywords:Random normed algebra  Fixed point  Generalized Ulam-Hyers stability  Cauchy functional equation  Random homomorphism
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