Volume 4,
Issue 1, 2003
Article
4
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FIXED POINTS AND THE STABILITY OF JENSEN'S
FUNCTIONAL EQUATION
LIVIU
CADARIU AND VIOREL RADU
UNIVERSITATEA "POLITEHNICA" DIN TIMISOARA,
DEPARTAMENTUL DE MATEMATICA,
PIATA REGINA MARIA NO.1,
1900 TIMISOARA, ROMANIA.
E-Mail: lcadariu@yahoo.com
UNIVERSITATEA DE VEST DIN TIMISOARA,
FACULTATEA DE MATEMATICA,
BV. VASILE PARVAN 4,
1900 TIMISOARA, ROMANIA.
E-Mail: radu@hilbert.math.uvt.ro
Received 27 June, 2002; Accepted 10 November, 2002.
Communicated by: Z. Palčs
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ABSTRACT.
We will present a fixed point method for the stability theorems of
functional equations of Jensen type as given by S.-M. Jung
[11] and Wang Jian [10].
[10] S.M. JUNG, Hyers-Ulam-Rassias stability of Jensen's equation and its application,
Proc. Amer. Math. Soc., 126 (1998), 3137-3143.
[11] WANG JIAN, Some further generalizations of the Hyers-Ulam
Rassias stability of functional equations, J. Math. Anal.
Appl., 263 (2001), 406-423.
Key words:
Jensen functional
equation, Fixed
point, Stability.
2000 Mathematics Subject
Classification:
39B72, 47H09.
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5, 2003
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