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A fixed point approach to the stability of a functional equation of the spiral of Theodorus
- Authors
- Jung, Soon-Mo; Rassias, John Michael
- Issue Date
- Jul-2008
- Publisher
- SPRINGER INTERNATIONAL PUBLISHING AG
- Citation
- FIXED POINT THEORY AND APPLICATIONS, v.2008, pp.1 - 7
- Journal Title
- FIXED POINT THEORY AND APPLICATIONS
- Volume
- 2008
- Start Page
- 1
- End Page
- 7
- ISSN
- 1687-1820
- Abstract
- Cadariu and Radu applied the fixed point method to the investigation of Cauchy and Jensen functional equations. In this paper, we adopt the idea of Cadariu and Radu to prove the stability of a functional equation of the spiral of Theodorus, f(x + 1) = (1 + i/root x + 1) f(x). Copyright (C) 2008 S.-M. Jung and J. M. Rassias.
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