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http://dx.doi.org/10.14403/jcms.2015.28.2.321

A FIXED POINT APPROACH TO THE STABILITY OF ADDITIVE-QUADRATIC FUNCTIONAL EQUATIONS IN MODULAR SPACES  

Kim, Changil (Department of Mathematics Education Dankook University)
Park, Se Won (Department of Liberal arts and Science Shingyeong University)
Publication Information
Journal of the Chungcheong Mathematical Society / v.28, no.2, 2015 , pp. 321-330 More about this Journal
Abstract
In this paper, we prove the generalized Hyers-Ulam stability for the following additive-quadratic functional equation f(2x + y) + f(2x - y) = f(x + y) + f(x - y) + 4f(x) + 2f(-x) in modular spaces by using a fixed point theorem for modular spaces.
Keywords
fixed point theorem; Hyers-Ulam stability; additive-quadratic functional equations; modular spaces;
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