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http://dx.doi.org/10.4134/BKMS.2006.43.3.531

A FIXED POINT APPROACH TO THE STABILITY OF QUADRATIC FUNCTIONAL EQUATION  

Jung, Soon-Mo (Mathematics Sectiion College of Science and Technology, Hong-Ik University)
Kim, Tae-Soo (Department of Mathematics, Chungbuk National University)
Lee, Ki-Suk (Department of Mathematics Education, Korea National University of Education)
Publication Information
Bulletin of the Korean Mathematical Society / v.43, no.3, 2006 , pp. 531-541 More about this Journal
Abstract
[ $C\u{a}dariu$ ] and Radu applied the fixed point method to the investigation of Cauchy and Jensen functional equations. In this paper, we adopt the idea of $C\u{a}dariu$ and Radu to prove the Hyers-Ulam-Rassias stability of the quadratic functional equation for a large class of functions from a vector space into a complete ${\gamma}-normed$ space.
Keywords
Hyers-Ulam-Rassias stability; quadratic functional equation; fixed point method;
Citations & Related Records

Times Cited By SCOPUS : 9
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