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On a modified Hyers-Ulam stability of homogeneous equation

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  • Soon-Mo Jung

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 ) .

Suggested Citation

  • Soon-Mo Jung, 1998. "On a modified Hyers-Ulam stability of homogeneous equation," International Journal of Mathematics and Mathematical Sciences, Hindawi, vol. 21, pages 1-4, January.
    • Handle: RePEc:hin:jijmms:616597
    DOI: 10.1155/S0161171298000672
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