Korean Journal of Mathematics

  • 제19권2호
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  • Pages.149-161
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  • 2011
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  • 1976-8605(pISSN)
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  • 2288-1433(eISSN)
강원경기수학회 (The Kangwon-Kyungki Mathematical Society)
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STABILITY OF THE JENSEN TYPE FUNCTIONAL EQUATION IN BANACH ALGEBRAS: A FIXED POINT APPROACH

  • 투고 : 2011.02.09
  • 심사 : 2011.06.10
  • 발행 : 2011.06.30
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⟨ 이전 논문 다음 논문 ⟩

초록

Using fixed point methods, we prove the generalized Hyers-Ulam stability of homomorphisms in Banach algebras and of derivations on Banach algebras for the following Jensen type functional equation: $$f({\frac{x+y}{2}})+f({\frac{x-y}{2}})=f(x)$$.

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참고문헌

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