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http://dx.doi.org/10.14403/jcms.2012.25.2.201

ON THE STABILITY OF THE QUADRATIC-ADDITIVE FUNCTIONAL EQUATION IN RANDOM NORMED SPACES VIA FIXED POINT METHOD  

Jin, Sun Sook (Department of Mathematics Education Gongju National University of Education Gongju)
Lee, Yang-Hi (Department of Mathematics Education Gongju National University of Education Gongju)
Publication Information
Journal of the Chungcheong Mathematical Society / v.25, no.2, 2012 , pp. 201-215 More about this Journal
Abstract
In this paper, we prove the stability in random normed spaces via fixed point method for the functional equation $f(x+y+z+w)\;+\;2f(x)\;+\;2f(y)\;+\;2f(z)\;+\;2f(w)\;-\;f(x+y)\;-\;f(x+z)\;-\;f(x+w)\;-\;f(y+z)\;-\;f(y+w)\;-\;f(z+w)=0$.
Keywords
stability; additive mapping; random normed space; functional equation deriving from quadratic and additive functions; fixed point theory;
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Times Cited By KSCI : 3  (Citation Analysis)
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