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Functional Congruences

  • Donald H. Hyers
  • George Isac
  • Themistocles M. Rassias
Chapter
  • 247 Downloads
Part of the Progress in Nonlinear Differential Equations and Their Applications book series (PNLDE, volume 34)

Abstract

In the following we consider a mapping f:E → R, where E is a real topological vector space, such that
$$f\left( {x + y} \right) - f\left( x \right) - f\left( y \right) \in Z$$
(12.1)
for all x, y in E.

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Copyright information

© Springer Science+Business Media New York 1998

Authors and Affiliations

  • Donald H. Hyers
  • George Isac
    • 1
  • Themistocles M. Rassias
    • 2
  1. 1.Department of Mathematics and Computer ScienceRoyal Military College of CanadaKingstonCanada
  2. 2.Department of MathematicsNational Technical University of AthensAthensGreece

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