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2010 GENERALIZED HYERS-ULAM STABILITY OF UNCTIONAL EQUATIONS: A FIXED POINT APPROACH
Choonkil Park
Taiwanese J. Math. 14(4): 1591-1608 (2010). DOI: 10.11650/twjm/1500405970

Abstract

Using the fixed point method, we prove the generalized Hyers-Ulam stability of a cubic and quartic functional equation and of an additive and quartic functional equation in Banach spaces.

Citation

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Choonkil Park. "GENERALIZED HYERS-ULAM STABILITY OF UNCTIONAL EQUATIONS: A FIXED POINT APPROACH." Taiwanese J. Math. 14 (4) 1591 - 1608, 2010. https://doi.org/10.11650/twjm/1500405970

Information

Published: 2010
First available in Project Euclid: 18 July 2017

MathSciNet: MR2663934
Digital Object Identifier: 10.11650/twjm/1500405970

Subjects:
Primary: 39B72 , 46B03 , 46C05 , 47H10 , 47Jxx

Keywords: additive mapping , cubic mapping , fixed point , functional equation , generalized Hyers-Ulam stability , quartic mapping

Rights: Copyright © 2010 The Mathematical Society of the Republic of China

Vol.14 • No. 4 • 2010
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