Lattictic non-archimedean random stability of ACQ functional equation

Advances in Difference Equations

Yeol Je Cho¹  Reza Saadati² 

[1] Department of Mathematics Education and Rins, Gyeongsang National University, Chinju, Korea;Department of Mathematics, Science and Research Branch, Islamic Azad University, Tehran, Iran

关键词: Stability;    Random normed space;    Fixed point;    Generalized Hyers-Ulam stability;    Additive-cubic-quartic functional equation;    Lattice;    non-Archimedean normed spaces;   

DOI  :  10.1186/1687-1847-2011-31

学科分类：数学（综合）

来源: SpringerOpen

【 摘 要 】

In this paper, we prove the generalized Hyers-Ulam stability of the following additive-cubic-quartic functional equation111f(x+2y)+11f(x-2y)=44f(x+y)+44f(x-y)+12f(3y)-48f(2y)+60f(y)-66f(x)in various complete lattictic random normed spaces.Mathematics Subject Classification (2000) Primary 54E40; Secondary 39B82, 46S50, 46S40.

【 授权许可】

CC BY