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http://dx.doi.org/10.14403/jcms.2019.32.3.337

A FIXED POINT APPROACH TO THE STABILITY OF THE QUADRATIC AND QUARTIC TYPE FUNCTIONAL EQUATIONS

Jin, Sun-Sook (Department of Mathematics Education Gongju National University of Education)
Lee, Yang-Hi (Department of Mathematics Education Gongju National University of Education)

Publication Information

Journal of the Chungcheong Mathematical Society / v.32, no.3, 2019 , pp. 337-347 More about this Journal

Abstract

In this paper, we investigate the generalized Hyers-Ulam stability of the quadratic and quartic type functional equations $$$f(kx+y)+f(kx-y)-k^2f(x+y)-k^2f(x-y)-2f(kx)\\{\hfill{67}}+2k^2f(x)+2(k^2-1)f(y)=0,\\f(x+5y)-5f(x+4y)+10f(x+3y)-10f(x+2y)+5f(x+y)\\{\hfill{67}}-f(-x)=0,\\f(kx+y)+f(kx-y)-k^2f(x+y)-k^2f(x-y)\\{\hfill{67}}-{\frac{k^2(k^2-1)}{6}}[f(2x)-4f(x)$ $]$ $+2(k^$ $2-1)f(y)=0$$$ by using the fixed point theory in the sense of L. $C{\breve{a}}dariu$ and V. Radu.

Keywords

fixed point method; quadratic and quartic type functional equation;

Citations & Related Records

Reference

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