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Approximate C ∗-Algebra Homomorphisms Associated to an Apollonius–Jensen Type Additive Mapping; A Fixed Point Approach

In: Nonlinear Analysis

Author

Listed:
  • Fridoun Moradlou

    (Sahand University of Technology)

  • G. Zamani Eskandani

    (University of Tabriz)

Abstract

In this paper, we prove the Hyers–Ulam–Rassias stability of C ∗-algebra homomorphisms and of generalized derivations on C ∗-algebras for the following Cauchy–Jensen functional equation: The concept of Hyers–Ulam–Rassias stability originated from the Th.M. Rassias’ stability theorem that appeared in his paper: On the stability of the linear mapping in Banach spaces, Proc. Am. Math. Soc. 72:297–300, 1978.

Suggested Citation

  • Fridoun Moradlou & G. Zamani Eskandani, 2012. "Approximate C ∗-Algebra Homomorphisms Associated to an Apollonius–Jensen Type Additive Mapping; A Fixed Point Approach," Springer Optimization and Its Applications, in: Panos M. Pardalos & Pando G. Georgiev & Hari M. Srivastava (ed.), Nonlinear Analysis, edition 127, chapter 0, pages 457-470, Springer.
    • Handle: RePEc:spr:spochp:978-1-4614-3498-6_27
    DOI: 10.1007/978-1-4614-3498-6_27
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