A Fixed Point Approach to the Stability of an Additive-Quadratic-Cubic-Quartic Type Functional Equation

By applying a fixed point approach, we investigate the stability problems for an AQCQ functional equation of the form f x + 2 y + f x - 2 y - 4 f x + y - 4 f x - y + 6 f x - f 2 y - f - 2 y + 4 f y + 4 f - y = 0 .

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Bibliographic Details
Published in:Journal of function spaces 2016-01, Vol.2016 (2016), p.1-7
Main Authors: Lee, Yang-Hi, Jung, Soon-Mo
Format: Article
Language:English
Subjects:
Education
Equality
Fixed point theory
Fixed points (mathematics)
Function space
Functional equations
Functions
Mathematical analysis
Mathematical research
Stability
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Description
Summary:By applying a fixed point approach, we investigate the stability problems for an AQCQ functional equation of the form f x + 2 y + f x - 2 y - 4 f x + y - 4 f x - y + 6 f x - f 2 y - f - 2 y + 4 f y + 4 f - y = 0 .
ISSN:2314-8896
2314-8888
DOI:10.1155/2016/8746728