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On the asymptoticity aspect of Hyers-Ulam stability of mappings
Authors:D. H. Hyers   G. Isac   Th. M. Rassias
Affiliation:Department of Mathematics, University of Southern California, Los Angeles, California 90089-1113

G. Isac ; Department of Mathematics and Computer Science, Royal Military College of Canada, Kingston, Ontario, Canada K7K 5L0

Th. M. Rassias ; Department of Mathematics, National Technical University of Athens, Zografou Campus, 15780 Athens, Greece

Abstract:
The object of the present paper is to prove an asymptotic analogue of Th.M. Rassias' theorem obtained in 1978 for the Hyers-Ulam stability of mappings.

Keywords:Hyers-Ulam stability   asymptotic conditions   asymptotically derivable   additive outside a ball
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