Title : ( An application of Banach s fixed point theorem to the stability of a general functional equation )
Authors: L. Cadariu , Mohammad Sal Moslehian , V. Radu ,
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Abstract
Using the Banach ¯xed point theorem we establish the stability of the functional equation f(z) = G¡f(z); f( (z))¢, where f is an unknown function, under certain natural assump- tions on functions G and . Our main result is seen to slightly extend a known one of J. Baker.
Keywords
Hyers{Ulam stability; ¯xed point; Banach ¯xed point theorem.
@article{paperid:1015363,
author = {L. Cadariu and Sal Moslehian, Mohammad and V. Radu},
title = {An application of Banach s fixed point theorem to the stability of a general functional equation},
journal = {Analele Universitatii din Timisoara},
year = {2009},
volume = {47},
number = {3},
month = {December},
issn = {0563-5608},
pages = {21--26},
numpages = {5},
keywords = {Hyers{Ulam stability; ¯xed point; Banach ¯xed point
theorem.},
}
%0 Journal Article
%T An application of Banach s fixed point theorem to the stability of a general functional equation
%A L. Cadariu
%A Sal Moslehian, Mohammad
%A V. Radu
%J Analele Universitatii din Timisoara
%@ 0563-5608
%D 2009
