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Stability and Set-Valued Functions

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

Abstract

Some interesting connections between the stability results of Chapter 1 as well as the theory of subadditive set-valued functions has been pointed out by several authors. We begin with a work by W. Smajdor (1986) which generalizes for set-valued functions some well-known theorems on linearity for ordinary functions, starting with an example (see also Th.M. Rassias (1998)).

Keywords

Abelian Group Functional Equation Topological Vector Space Commutative Semigroup Additive Selection 
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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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