On a modified Hyers-Ulam stability of homogeneous equation

Soon-Mo Jung

International Journal of Mathematics and Mathematical Sciences, 1998, vol. 21, 1-4

Abstract:

In this paper, a generalized Hyers-Ulam stability of the homogeneous equation shall be proved, i.e., if a mapping f satisfies the functional inequality ‖ f ( y x ) − y k f ( x ) ‖ ≤ φ ( x , y ) under suitable conditions, there exists a unique mapping T satisfying T ( y x ) = y t T ( x ) and ‖ T ( x ) − f ( x ) ‖ ≤ Φ ( x ) .

Date: 1998
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jijmms:616597

DOI: 10.1155/S0161171298000672

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